I've never once had a VC even ask about my paycheck let alone suggest I don't take one. FWIW the second you run a company you literally have to pay yourself at least minimum age, it's illegal not to. edit: Hm, apparently you can take a literal $0 paycheck. Regardless, it'd be absurd for a VC to tell you to do this imo.
It's not true, as the founder of the company, you aren't even technically employed (unless you become a legal employee), so there is no concept of wage at all, only dividends and buying stuff directly with the company (fine within reasonable limits).
This clearly isn't true for eg a single-member LLC, and likely not true in general.