Having a built Paxton car that I've put about 30,000 miles on, I find that the power is more linear compared with the TT cars that I've known which makes the Paxton cars a bit easier to drive IMHO.
Also, my Paxton car continures to make more and more power as the rpm's climb all the way to its 6600 rpm redline while many TT cars top out much earlier, i.e. at lower rpms. Most TT cars make gobs of torque down low which can make driving them (traction) a challenge and spinning the tires over 100 mph can give you a shot of adrenaline like few other lifetime experiences.
If I could do it over again and "manage" the TT power by phasing in the boost levels in each gear, which I think some engine controllers can do, I too think the TT is more efficient.
Both make a bunch of heat, i.e. increase intake air temps, and you have to have the tuning done by somebody who really knows what they're doing or you'll get to rebuild the engine a couple of times - I did......and, your fuel system will have to be highly modified and must work perfectly for any extended run or you will melt spark plugs, blow insulators off, burn holes in pistons and break ring lands - none of which is fun.
Neither one will survive on a road course during warm weather even with an over-sized radiator, oil cooler and inter-cooler, so the track is out.
I guess some of what you choose to do is how you intend to use the car. Properly built and tuned, either one will make more hp / tq than most of us can effectively use but there is that pesky belt to deal with in the Paxton build. I got about 20K miles out of my first Paxton belt which was ruined by a fiber pulley failing.
Then there are all the upgrades to the drive train. The diff must be upgraded, the clutch, trans, 1/2 shafts, tires, suspension. Talk about a potential money pit!
Good luck,
Dan