In Dominion, honorable opponent just means your are a filthy op spammer.

Yeah, I think I remember that. It was pretty vague though, and pretty new. I think even some of the rioters didn't know what the heck was going on.

Yep, it only checks for games played; not game type, not game length.

What about bot games and to a worse degree TT bot games?

I probably got the most of my honors from when the feature was new, but the majority of games I play are Dom so that's where I get my honors from. I had Honorable Opponent for a long, that ended up being Great Teammate after some bot games about 2 weeks ago, then less than one week later to Great Leader. I don't have that much total honor if you were to check my profile to be honest, but I don't play as many games either. Also, read Status Kwoh's replies in the thread mentioned above.

If you feel that you should be getting a better crest just off sheer number of honors, then I don't think you're deserving of that upgrade. You'll get it when you least expect it :P