I have both the Adcor Bear Elite and the PWS Mod0. Between the two, I prefer the PWS because it has a better balance. My Adcor is a little front heavy because I ended getting the FN heavy barrel version, so I always wonder whether the Adcor with non-heavy barrel would be better balanced.
Adcor use to have an "advantage" because it had free floating barrel and adjustable gas valve, but PWS now makes mod1 with free float barrel and adjustable gas valve, and other modifications which makes it even more attractive. The Adcor does have a separate side charging handle, but I do not consider this to be an advantage. There is a post where an owner complained about the side charging handle wearing away the rail, which is legit because mine showed similar wear. Hence, I do not use the side charging handle due to this problem. The side charging handle may be considered a disadvantage because the side charging handle gets in the way of putting on rail covers on the side where the charging handle is located.
If I had to choose, I would go with the PWS. On major difference between the two is that Adcor may be considered a short stroke piston and the PWS is a long stroke piston.
I do not have the LMT so cannot comment on this gun.