One note is that our bluestone coping is roughly 20 degrees hotter than the surrounding concrete on a sunny hot day. Measured with an infrared thermometer. The darker the bluestone (if it has browns in it) the greater the difference (above 20 degrees warmer). Mind you, both can get too hot to walk on comfortably, but the coping gets super hot. But we wear flip flops if needed and splash water if needed (it is by the pool after all). I'd do bluestone coping again for sure. It's beautiful.
As for installation, so long as the installer is used to working on pool coping, it shouldn't matter. The guy who did ours was a tile and coping company. Then concrete decking by a separate crew.