What I like about Thinline Teles:
* A bit more "nasal" than a solid body
* Preserve the twang / spiky attack while adding more harmonics
* Tend to be lighter weight
* As with all SHB's, nice to play acoustically (and I mean it's nice to have a Tele that rings out when not plugged in)
Totally subjectively, I've had an odd (and this ain't data, it's anecdote) sequence of experiences where all the Thinline Teles I've encountered had nicer necks, on average, than the solid-body counterparts. No clue why that is, and am sure it's random, but ... worked out well for me.
Nothing like having a 6.5 lb. Tele that's loud-as-hell with a mahogany body and f-holes. Looks bitchin', sounds awesome.