Red,
I bought my burning table at an auction, so I didn't get any literature with it. It came with 40 or so of the 2 piece tips, all in a wood block that was marked with tip number and thickness range. Seemed like everything I cut always required some fiddling with speeds and pressures to get a good cut.
I had some parts to cut from 5" thick plate one time, so I decided it'd be best to start with new tips. Went to the local supply house that actually knows something about what they're selling (unlike Airgas here) and when the guy told me what size tips I needed, I thought immediately the size was different than what was marked on my wood tip storage block.
He told me the single biggest problem in burning is that people tend to use tips that are too big for freehand and ones that are too small for machine cutting. I got a couple tips, and he gave me a manufacturer's sheet on the proper size for various thicknesses and machine use. Cut that 5" stuff slicker than you could bandsaw it, and using the cheat sheet for the rest of my cutting made it run without any fiddling around, and with better cut quality than I'd ever gotten in the past.
Any sort of reaction that produces free oxygen would seem to me the last sort of thing one would want to use for gas welding, even if it would produce enough heat. Sort of like trying to weld with an oxidizing flame, which we both know don't work out so great