That statement does seem a little worrying to me. I know it's a chicken-and-egg problem, but how will you keep building traffic unless the quality really is very good?
And if anything, it will be easier to enforce that now than later. The site does seem to have a good number of jobs for being so young already, but it's still at a nice level where you can manually screen every application.
Maybe one way to separate jobs from ownership stakes would be another tab in the "Browse" section for "Equity"? In the same way that a job can be both Freelance & Remote Friendly, this could be a good way to keep certain jobs separate?
Enforcing quality is the best way to stand out I think; there are hundreds of job boards out there.
One thing I like about yours already is that quite a few specify the salary range. That's the sort of information that makes it higher quality to me.