I've had the privilege of owning multiple LTs and multiple LXs over the last few years (currently own an LX 6). Both are quintessentially Spector, but each are their own beasts, and it's hard to say either is better as they are both brilliant. It comes down to taste. I've come to prefer the LX, and I've learned I am a TonePump+EMG guy all the way. The Bartolini+Darkglass combo in the LT is very nice, but the EQ points weren't for me. The fundamental tone is similar, which I think comes down to the pickup placement and overall construction being the same (as far as I know). I will also say I am slightly biased as I will take EMGs over Bartolini any day.
IME, the LX is a little more "in your face" but I love how it can be very warm and then very bright. The TP and EMGs are the sound I hear in my head and suit my playing. I play lots of styles, from musical theatre to progressive metal, and the LX is at home in everything.
I loved the LT, but I had trouble dialing it in to what worked best for me. However, I loved it for modern progressive metal. It's a very clean tone and accepts varying level of distortion well. I also loved having an ebony fingerboard on the LT. The rosewood on my LX is great, but I do tend to prefer ebony overall.
Not entirely sure if that was helpful or just muddied the waters. Happy to answer any other questions.
Eric