There are actually a couple of designs of hot air chokes (Cad and Olds IIRC) but both are probably pretty similar: (this is Olds for sure) they pull a slight bit of air through a tube that sits inside the intake up to the choke coil housing. Thus, the coil is warming up similar to the engine, not the carb.
The divorced style is pretty simple. Instead of a choke coil on the carb, the coil is mounted to the intake, with a rod going to the choke linkage on the carb.
No, you can't just take one choke off of a carb, and put a different one on. Some you can, some you can't, but the mounting points on the carb are not all the same. (personal experience speaking) You have to take them apart to tell and compare, at least thats the only way I know of. I believe most are likely to interchange, and a few oddballs out there.
The divorced setup worked great in my truck, and no complaints with the hot air on the Olds either.