I haven't heard about the coatings, sounds plausible. Ti Ni coating really is a solid film lubricant, for tools that cut metal without lube/coolants, ie rifle barrel.
Heat/cryo treatment, definitely helps those that shoot more in one sitting. The treatment realigns the alloy's molecules of the barrel to be more uniform.
As a new barrel is straight when cold, usually about the third shot starts warping. A barrel fresh off a lathe after contouring isn't normally perfectly straight, the maker's bend it back to straight. The molecules are still bent, the heat build up in shooting will let a barrel go to that bent position in the barrels memory. Cryo erases the memory.