A single anecdote is perfectly sufficient to disqualify the claim.
Whether or not dropping out is a good idea is the real tired argument here, and does not even relate to the parent's comment. Google has studied this and released a recent report about the matter (I do not have the link handy anymore, but it was posted to HN at the time). They found that there is no relationship between educational attainment and ability/performance. The case is closed, at least until someone invalidates their study.
Given that, whether dropping out of/not attending a post-secondary institution is a good or bad idea is really a personal matter, and is highly dependant on the individual and that individual's particular situation. It might be important for you, personally, to get a degree, but projecting that onto anyone else is pointless as nobody else is in the same situation as you.