IDK, I think that anybody who asks for my contact info...I give it to them. A few reasons. First, not that many people actually call. Second, it's not polite to snub someone who likes you. Third, if they do call and have a situation, then is when I make the real decisions. Depends on how hungry I am at the time.
Everybody does it differently. I prefer to observe the jams and see who I want to play with. I'll observe them and try and figure them out and learn their stuff the way they like it. I lay back and don't push myself. I'm just there to have a good time. I do try and get onstage with the people I want to play with but I don't ask whoever is running the jam to put me up with them, because everybody does that and it's a big hassle for the guy running the jam. You don't want to be a PITA to that guy. So I just lay back, try and play great drums, and keep my eyes and ears fixed on the guys I want to play with. (when I'm in the audience and they're onstage lol).
The one thing I do initiate is compliments. If I like someone's playing, I will walk across the room to compliment them. Only if it's genuine. And I don't use the compliment to shoehorn my agenda on them. I bide my time. Good players are worth biding your time for. A drummer who knows what the others are looking for in drummers, and can deliver, will get the calls. You just have to establish your playing with them first though. Even if they don't talk to you initially, they WILL notice whether you are good or not.
In my world, if a drummer approaches a good guitarist or bassist and tries to get in with them....let's just say that it's better if they ask you. But that's just my approach. I lay back and bide my time. I'm don't like self promotion with words. I try to let my playing do the talking. I try keeping a good positive attitude and let them come to me. It's all about the playing and the attitude. Personal hygiene doesn't hurt either lol.
But contact info? Spread it around. That's the whole reason you're there, right? You just never know what people will offer you, or who you will meet in the process.