It's not an absolute; I've definitely met people in college at the gym that I became friends with, but generally speaking, I'd say the gym is for working out, and it's fine to be friendly and social, but most people I know who go to gyms, and indeed, most of the people that I interact with at gyms, are more interested in working out than making plans to go grab drinks later. They'll be friendly and maybe chat briefly between sets, but I think it's mildly akin to going to a movie, and hoping to meet people after the film waiting around the lobby to talk about the flick and become friends.
Especially people who go in the morning, my guess would be they are there to get a workout in, not to meet new people. You mentioned that it was in your building complex though, so maybe it's a bit of a different dynamic. However, showering for the gym means working out isn't your prime motivation; if I was at a gym doing my stuff and was approached by someone who was only there looking to snag a phone number or a date, I'd probably be pretty put off.
How many are the enemy, but where are they? Within, without, never ceases the fight.