There are two (four, really) broad categories of tubeless tires [road/mtn] UST, and everything else (TLR, 2BLISS, etc...). The former adheres strictly to certain standards (must have a specific bead shape/size, [mountain] must be airtight without sealant, etc), while the latter is a bit of a crapshoot.
Here's the thing: using a UST tire on a non-UST rim has no inherent benefit, as the whole point of the system is the tight tolerances between the rim/tire, which prevent/make much more difficult unintentional dismounting (added bonus, easy tire mounting).
N.B./caveat emptor: some manufacturers make their rims/tires to UST bead specifications, but don't send them out for certification (which costs money) for the UST label.