You're not going to get the full range of any stereo signals in the final mix. That is, even if you plug L and R out into two inputs on the bar p.a., it's only going to produce mono, with exactly the same sounds coming from each of the p.a. speakers.
Which is a shame. A lot of the sounds I use on keys are much more effective when listened to in stereo. Hammond Leslie panning, stereo strings, vibes, for a start. Ping pong echo back and forth. If you only connect one channel - L or R - the p.a. will only receive info. from that channel. On some keyboards, one channel will sum it all, so at least no info. gets left out. Use the other, and you'll only get 'half' the sounds produced.
It may well be possible - I used to do it - to take a mono amp (as most are), and place that so it presents one channel, and plug the other into the p.a. Of course, limitations like space, or the venue not accepting 'messing with my sounds'.
By and large, the audience won't necessarily notice much difference between mono and true stereo, which is why a lot of things plugged into p.a. are panned central anyway. That, and it depends where the listeners are in the room. These days, I take my own small stereo p.a. and plug into that, with a speaker each side of me. That way, I get to hear what I like, but by the time it reaches audience members half way back, it's probably mixed itself to mono anyway!(Always preferred being in control, having heard too many 'sound guys' wreck the band's sound!) Yes good sound guys are worth their weight in gold, don't get me wrong.