Two dates is just too soon IMO. At this point, people may have a sense that this is something that could really go somewhere, but it's just far too soon to tell. I wouldn't even want to have this conversation this early on. I always assume that a man may be seeing other women until we agree to be exclusive, and then you should definitely both take your profiles down (and who in their right mind would want to keep doing OLD one minute longer than you had to? :) To me, it's sort of like doing squats and lunges).
But I don't expect a guy to announce to me, "I'm dating other women," either. Sooner or later it's going to be obvious that you are both into each other, but I think two or three months would be more reasonable, but everyone's timeline is different. When you both agree to be exclusive, then that's the time to take your profiles down.
I think there is probably a trend to "microwave" a relationship with someone you meet online rather than IRL, not sure why that is. Maybe it is that need to get off of the dreary dating treadmill. But I would be rather put off by a man who waned to get serious really quickly...it would probably scare me off.