A single layer T2T, done under vacuum, with a breather, peel ply, and the correct amount of epoxy will add very little weight to your aft end, but it will add weight.
I am a big fan of T2T and I have done several that many TRFers also said was unnecessary, but I say build it the way you want. Having said that if you don't have the tools and are not prepared to invest in them then the T2T process could get ugly fast.
I have the OOP all carbon fiber 38mm Mongoose that I am just finishing up and I did a single layer 2x2 twill 3K T2T on her, I have one set of fins to go and hoping to have her ready for URRF4.
I also have the 54mm CF Madcow Tomach XL, I also did a single layer T2T on her. She has has been close to Mach 2 twice, broken Mach 1 five times, has fallen from 10K on a 12" drogue with a failed main landing on very hard compacted dirt (flight 6), and has a total 9 flights. She looks like new and I am not confident that I would be able to say that if I built it any less, but who's to say.
One other thing to consider which is very much the case with me. If you are planning on bigger and better flights as you get deeper into this hobby, the best time to practice building you skill sets is now. In other words before you get into a build that really needs this level of reinforcing, build your skills on rockets that don't, there is a learning curve to get it right.