It depends on what year car you're looking at. Prior to 2020, the T/A was its own model. 2020-present T/As are just a sticker and CAI package for the Scat Pack. However, 2019 and prior T/As had mechanical differences. They could be had with both the 6.4L or 5.7L engine, but they had a different, more aggressive trans map. In addition, they had a unique sport suspension with factory lowering. Unlike the SP, the T/A only had normal and sport modes as the suspension was "set." Thus, the drive modes really only affected the steering wheel feel, traction,and trans shift points.
In my opinion, the 5.7L engine is a dog. A 2022 Challenger R/T with the 5.7L is out performed by a 2022 Toyota Camry V6 in terms of acceleration from 0-60 and 1/4 mi times. Yes, it's still a Hemi, it sounds nice, purrs like a kitten and all that, but just know that if you buy it, you're slower than a Camry. I wouldn't be able to handle that.
Thus, the Scat Pack with the 6.4L is the bottom line for me. 485hp, is comparable to most other performance cars like Mustang GT's and Camaro SS's. The Scat Pack is a Hellcat Lite type of car. It has the Hellcat's suspension, brakes, just not the 6.2L supercharged engine. Instead, it comes with the 6.4L "Apache" V8. The modern T/A adds on a Mopar branded cold air intake and the retro T/A body graphics.
If I were me, and I am, I'd more closely look at a Scat Pack Shaker or Widebody Scat Pack Shaker. Performance wise, there is no difference in any of the Scat Packs. T/A, Shaker, narrow/widebody... they all have similar performance figures in the engine. The widebody will handle better and get a tiny bit better traction with its 305s, but is it worth the added cost? That's a choice for someone and their wallet.
For me, I like the widebody Scat Pack Shaker. If I could get a shaker on a Hellcat, I'd own one. There's just this problem of a blower being where the shaker is supposed to sit.