Waiting on a call to make sure I'm not immediately disqualified on medical reasons (I can't imagine there's any reason I would be) because evidently no one in the military prior to me has ever heard of Pyloric stenosis.
I was asking one of the recruiters about their quotas and he did finally admit to their numbers, but insisted that other than raw numbers the only factor anyone checks for is if you're a high school senior or not, that the MOS you get put into makes no difference to anyone they have to report to.
It's believable, but could also easily be a lie and really my last concern.
Edit for specification:
I have heard there could be incentive for the recruiters to try and 'motivate you' towards a certain job, but that in the end the available job list is provided and final choice filled out by civilian contractors who have nothing to gain from any choice you make. My specific fear is that if I go for same day testing / physical and get told at the last second "whelp, guess all that's available right now is infantry, so have fun being infantry!"