LUST is more than TR. It’s a UST tyre designed for UST rims. Heavy casing to avoid any air leaks even if you have no sealant and the bead is designed for UST. Problem with UST is the tyres are heavy and you end up still needing sealant if you get punctures, so may as well go with TR.
TR is a more regular tyre with an improved bead for tubeless seating, and maybe slightly less pourous sidewalls, but may still need sealant to stay on.
EXO is a more durable sidewall for cuts and slices, and in the process makes it good for tubeless also, even the non TR version.
Oh, and then you’ve got dual ply used for DH tyres, which are tougher all round, but heavier.