Ultimately, Gin is being played by Aizen, maybe not as much as Aizen thinks, but still enough that it hardly matters vis a vi Ichigo. Gin will not protect Ichigo from being mindwhammied by Aizen. Further more, attempting to throw spanners in the works of Aizen are going to fail on their face because of two reasons
1) Aizen already knows about Ichigo in the broadest sense. Now that Ichigo is in Soul Society, Aizen has the court and the ball, and there's not really a good way to go against him without suicidal stupidity or metagame cheese. Getting to know him is just encouraging us to become Hinamori.
2)Metagame cheese is at least as likely to kill Ichigo as to actually work, the GM can always cheat harder than the players.
I mean sure ultimately we're going to end up working for Aizen because that's just how Bleach Quests always seem to go. But I'd rather not go running to it with open arms. The longer we can do our own thing is more time for us to maybe get to the point where we can help when things become a total shit show.