Most startups are open to trading cash for equity if you ask. Many even offer it explicitly. Investors also encourage it, e.g. see Index's Rewarding Talent guide: https://www.indexventures.com/rewarding-talent/balancing-cas....

When I make someone an offer, I give them a spreadsheet where they can plug in different salaries and equity stakes to see outcomes based on future funding events, valuations, and exit scenarios. Without exception the people who've leaned into equity have turned out to be the best performers and ended up with higher salaries anyway, but a majority favor cash up front.

I addressed this elsewhere in this thread