I'm a 100% English rider, haven't even sat in a Western saddle before and have no idea how it feels. But I love the freedom that is offered by a good A/P saddle, and I like dressage saddles too. Not a fan of jumping saddles, though, although they serve their purpose.
And of course you can jump and gallop in dressage saddles. It's just not that comfortable, as jumping saddles are designed specifically to help with the jumping position.
I have come a long way, to surrender my shadow to the shadow of my horse.