El diccionario de Cabanellas dice que Equity Capital es el capital propio de una sociedad frente a terceros.

In the Spanish-speaking world (much like in the English-speaking world), there seems to be much confusion between using terms like patrimonio (estate, assets, or capital resources), patrimonio social (corporate assets), capital social (share capital), patrimonio neto (equity) and, in this case, capital patrimonial.

I doesn't appear to me that capital patrimonial is a widely-used term nor does it appear to be a generally-accepted technical term, and I suspect they mean patrimonio or patrimonio social instead.

In the context of the original text, I would say it makes more sense to refer to corporate resources, as "equity" per se isn't something that you can logically insure.

According to the RAE, the relevant definition of the word patrimonio is as follows:

"2. m. Conjunto de los bienes y derechos propios adquiridos por cualquier título."

On the website https://bit.ly/2CuL3mr it says the following:

"De manera general cuando hablamos de patrimonio social nos referimos al conjunto de bienes y propiedades de una empresa, mientras que el capital social hace referencia a las aportaciones que realizan los dueños o socios de una compañía.

...

¿Qué es el patrimonio social?
Según el modelo de negocio de una compañía, el patrimonio social son los recursos financieros y económicos que usa la empresa para lograr sus objetivos relacionados con los bienes o servicios que ofrece a los consumidores.

Para conocer el verdadero patrimonio social de una empresa es necesarios sumar los activos (como por ejemplo vehículos e inmuebles) y los derechos y restarle las obligaciones que tenga la compañía con terceros (por ejemplo hacer frente a las cuotas de un crédito). De esta manera se conocerá realmente el valor del patrimonio social."

This fits the definition of capital resources, according to the website https://bit.ly/3dqyup6:

"What are Capital Resources?

Definition: The term capital resource is an economic concept that refers to man-made elements employed to produce goods or services. They are resources that allow the company to carry on with its productive activities."

It makes more sense to me that a company would want to insure their capital resources (machines, tools, etc. to produce a product or carry out a service) rather than their equity (the monetary value of a business beyond any amounts owed on it in liabilities or the interest of the owner of common stock).

One of the definitions of patrimonio in the Collins Spanish Dictionary is "3. (Com) net worth, capital resources."

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Note added at 1 hr (2020-06-24 20:53:10 GMT)
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Please excuse the typo in my second sentence, as it's meant to read "It doesn't appear to me that...". :-)

Spanish term (edited): (seg.) capital patrimonial

Capital is ambiguous in an insurance context as can also mean a professional indemnity etc. benefit payable. Capital asegurado: sum insured (ins. dictionary)

las sumas aseguradas para cada Bien Material y Capital Patrimonial > the sums insured for each Tangible Asset and (for each) ----.

Proprietary capital - proprietor's = owner's capital - or equity share capital, as the full title goes, of a company.

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Note added at 20 heures (2020-06-25 16:27:49 GMT)
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My original hunch of the Benefit Insured leads me back inexorably to: 'valuation of / the capital sums for / the proprietary funds insured ...'

Heritage or patrimonial capital is something from the past, considered as part of the inheritance of present day society.
According to the description, heritage or patrimonial capital is considered separately from other material benefits.

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Note added at 1 day 20 hrs (2020-06-26 16:28:16 GMT)
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In the description, 'heritage' or patrimonial capital could be a substantial fund, which I believed could be for the public good (or, for example, with a view to create a public asset such as a community centre or library). This might only be possible if there is no one from a family line left to inherit. In the other information provided I found the following:
"Capital patrimonial es perteneciente o relativo al patrimonio (conjunto de bienes y derechos proprios adquiridos por cualquier título)"
"Patrimonial (heritage) capital is belonging to or is relative to the inheritance or birthright (acquired assets and proprietary rights combined by any title)."
"O bienes pertenecientes a una persona natural o jurídica, afectos a un fin, susceptibles de estimación económica"
"Or assets belonging to a native or legal person, attached to a purpose or an end, with a possibility of (capable of) economic valuation"
"Capital es activos y bienes económicos destinados a producir mayor riqueza"
"Capital consists of fixed, frozen or invisible assets and economic gains which bring greater richness."
"Capital fijo u económico que se emplea con carácter permanente en la producción"
"Fixed or economic capital which is used with permanent character within production".
I understood it to be separate from other materialist benefits because it could belong to a group of people or society. The information provided states:
"Se tomarán en consideración las sumas aseguradas para cada Bien Material y Capital Patrimonial, separadamente".
"The insured amounts will be taken into consideration for every material asset and heritage capital (or property inherited from ancestors), separately." This could explain how it may appear in a business insurance policy.
For further information I found the web address: www.openknowledge.worldbank.org/handle/10986/20541
"The return of patrimonial capitalism: Capital in the 21st century by Thomas Piketty provides a unified theory of the functioning of the capitalist economy by linking theories of economic growth and functional and personal income distributors."