OK .. let put it in different terms..
what if u by mistake end up in a club that is total cheesy house, U have yer regular rec. bag. so there is no way (predictably...) they'll b into your sound... the resident dj offers 2 lend u some of the cheesiest (Macarena style) floor movers 2 play...

what would u do?
Play yer records and try the best possible 2 mak' em move with what u got (I mean try for real, choosing the closest possible 2 what they might like).... or ....

Grab the cream the la creme of cheese from the resident...

?

If u aim 2 please where do u draw the line????
If you end up in this situation, then, maybe, just ask the other dj to play? Such a decision, I think, would still be in-line with what makes an excellent dj. Djing, imo, is about knowing what records to play. If you think or know that the right records are in another dj's box, then why not let the other dj play. In this way, and by this one decision, you would still decide what music should be played to rock the crowd, only you would be acknowledging that its not your style of music. If you're going to have to play another djs records in order to win the crowd, then, the crowd obviously doesn't really know who you are, nor, what your style of music is about, and, therefore, isn't really going to mind if you don't play at all.

Just a thought.