I think he meant "state schools are the only true "safety" schools." I really don't think there are safety schools. For instance, GW may have "low median stats", but they regularly flat our reject pre-interview people with high stats (35+, 3.8+). You should just apply to schools where your stats are in range, and hope that one of them likes your application. But don't bank on a few "safeties" to fall back while sending most of your applications to schools outside of your range.
And FYI, a MCAT of 33 is competitive. Browsing this site, you may think you are at the low-end, but you're definitely not.