From my dealings with the Hopkins admissions process, I wouldn't say you're at a disadvantage if you didn't get accepted right away. They seem to look at the whole acceptable pool at every meeting, grab the superstars from the most recent interview date, and accept a few they overlooked from previous dates. At least that's what they say.
Also, it's really too early to worry about not getting an interview invitation. If you don't hear any news, the motto goes, that's good news. I dunno if my situation is relevant, but I turned in my app the very last day it was due, interviewed on probably the last date, and got in along with others like me.
Oh yea, Hopkins is also kinda slow with the paperwork.
-LK
Hopkins Class of 2006