Well I did it and nobody noticed, you guys are correct! People are oblivious.

I did wear my hoodie all day (which isn't unusual for me), so next time I might try taking that off if/when I get hot. I went straight to the TG meet after work. I had my first counselling session there then we all went for dinner and some of us went on to the pub for a bit. It was really interesting spending time with two other transguys around my age!
Thing is though, I heard you should only wear a binder up to 8 hours at a time to avoid potentially permanent damage? :/ Do full-time pre-op large-chested guys simply ignore that? Yesterday was 15 hours.. Though I wore it as loose as possible.