Knowing full well that no beekeeping can by definition be totally "natural", it should probably be more correctly known as "more natural beekeeping"
Your "As the only difference i can see is they draw there own comb, and do not produce honey." is not by any means a complete or correct description (neither is the "snobbery" accusation).....
I use both Kenyan and Warre hives, and the differences between the two types of beekeeping are many - in brief - we allow the bees to build whatever foundation they choose, we don't restrict the queen in any way, many of us don't try to inhibit swarming at all, I won't use any synthetic chemicals, tend not to feed, but leave them their own stores to survive winter instead - I certainly wouldn't dream of marking or clipping my queens, neither would I replace them as a matter of course......... or practice drone brood culling.... I don't use smoke, nor do I subject them to intrusive invasions of their hives every few days as I am keen to preserve the "nestduftwärmebindung"........... so there are quite a few differences - honey is not the top of my priorities, but I do harvest sufficient for my needs, and it is utterly glorious!
As for "snobbery" - that works both ways! I have chosen the way I am happy and comfortable keeping bees, it works for me, and many others - I have experienced at times the most incredible bias against "natural beekeeping" from some beekeepers, and am frankly at a loss to understand why.........