I find I usually prefer a slight emphasis from the presence range up with omnis. In many, though not all situations where that might sound over bright, I most often just need to reshape the curve slightly so as not exagerate a specific range. Sometimes a minor cut at 7 or 10kHz or something in an otherwise broad, low-Q response response bump does the trick. There are situations were I'd need no emphasis, like on-stage close to the drum kit with lots of high frequency energy from cymbals, but I can counter-act that transparently with a broad EQ de-emphasis without much problem. So overall, I'd rather have a slight emphasis most of the time rather than not. But again, I'm primarily interested in the general response smoothness and easy 'EQ-ability' more than the raw response itself.
My Gefell cardioids have a significant bump too, more than the 4060, but one which is also smooth and managable with EQ.
I know many around here purposefully choose not to or just don't want to deal with EQing things and that's cool. But If I had to choose mics to use based on their response alone, without any EQ, I'm sure I would feel frustrated more often.. and would probably want a lot more mics!