well no... I mean OTR is probably the best symbol of "team strength" that we have (since team ratings can fluctuate daily depending on your lineup). I'd think that usually the best teams want to play the best teams.
Also, the amount of OTR gained from winning games (including friendlies) is determined largely by the OTR of the opponent (so having a high OTR is more desirable in that respect too).
And yes... I'm sure having a big stadium helps. But I just don't think that size is all that matters. Some might say that if it's too big, you might be overcompensating for something. Ahem.
Hahaha. just kidding.