I can't speak on the TI stuff, but I've tried many many SEs over the years, and have never really been moved by any of them. I was outright turned off by an SE 594 I tried a few months back.
On the flipside, I got an S2 vela back in the spring, and quickly fell in love with PRS and since then...
I like my SC594 and my LP Standard both quite a lot . 594 feels a bit more modern and sporty to me. I'd recommend hitting some stores and trying a few LPs, only you can determine if its a hole in your collection or not
Out of curiosity, is there anything aside from body thickness that would differentiate a mccarty from this era with a fixed bridge/3 way switch/moons custom 22 from a similar era?