Include ALT text in the results of an in-page search with a browser

When i use ctrl+f to search within a page with Firefox or any other browser, i expect it to bring me to an image that has the text i’m searching for as alternative text.

Apparently i’m alone in this. I’m finding nothing in searches.

When there’s a page of picture-only profiles there’s usually alt text on each with the person’s name. When there’s a listing of sponsors there’s usually alt text with the company names. Search would be very helpful in these situations, and undoubtedly many more.

Can people using accessibility tools search a page and have the alt text part of what is searched?