I read through most of this thread, skipped the last couple of pages.
I feel there is an ego thing going on here with the OP. So, to the OP, I think that's great you can ride your horses with a halter, or bitless...that's great. But who else on here can't do that? Pretty much everyone else can, so I don't understand your thinking that if someone CAN'T do it, they aren't a rider.
So, I will one up you....how about bridleless? I can ride with a bit, with a halter, and bridleless on my horse...and he will respond the same way BECAUSE I use seat and leg FIRST, no matter what is on his head or NOT on his head. Here are some pics at the jog (and yes, I can walk, jog, lope, back, spin, and do a pattern on him bridleless inside OR outside.)
If you know anything about riding....you know that there are 3 basic aids....hand, seat, and leg. To get ultimate refinement in how your horse uses it's body, a bit is needed due to the hand communication. To go bridleless, bitless, or in a halter and have your horse perform correctly....well, that is the END of the training because everything else to get to that point has been done in a bit.