$250k from immediate family, if said fuzzy conditions don't confer any ownership or repayment? I'd say just barely yes (it's basically a gift to you at that point, which is then your money)
$250k from a third cousin in return for equity? No.
Being bootstrapped isn't an ungameable category, but it is a fairly unambiguous one IMO.
If family (with fuzzy conditions) ponied up $250k, is it bootstrapped?