Please tell me which of Penicillin, insulin, the transistor, the discovery and analysis of the electric field, discovery of DNA, invention of mRNA vaccines, discovery of pottery, basket weaving, discovery of radiation, the recognition that citrus fruit or vitamin C prevents and cures scurvy (which we discovered like ten times), the process for creating artificial fertilizers, the creation of steel, domestication of beasts of burden, etc were done through Wealthy Barons or other capital holders funding them.

Many of the above were discovered by people explicitly rejecting profit as an outcome. Most of the above predate modern capitalism. Several were explicitly government funded.

Do you have a single example of a scientific breakthrough that saved tens of millions of lives that was done by capital owners?

The transistor was funded by Bell Labs.