Thing is, why not use the Me 262 HG II, which not only looks cooler than the TL, but is a far better transition to the transonic HG III. Use an advanced version of the Jumo 004, some of which even were to have afterburning, and you've got a really sweet fighter that neatly bridges the gap between the smexy Me 262A and the afore-mentioned HG III.
In actuality, the Bf 109TL represented a "kitbash" fighter - unlike American kitbash fighter projects, the Germans passed on the opportunity to develop the project fully. The wing was a development of the Me 155's wing (the Me 155 essentially began as a navalized Bf 109G with a new wing design) and various other Bf 109 parts/Bf 109 developments cobbled together to make a fighter capable of acting the part of a jet fighter. On certain grounds, it is possible it may have outdone the Me 262 on some levels. The wing was supposed to be more sophisticated aerodynamically than the standard 109's wing, and the fighter may have had a lower wing loading than the Me 262. The 262's 18 degree leading-edge-sweep did not reportedly assist much on the airspeed front, but was more so a measure to properly balance the center or pressure with the center of gravity. The designers speculated that airspeed may have been higher in the TL due to a lower frontal area, something for which the Bf 109 is rather... unmatched in.
Ultimately, you'd need to do some proper scientific testing to really validate all the above points to see if the TL may have out-done the 262 in practice. I'm actually not convinced it would have, not on all counts, at least. I also wonder why no one puts a Galland Hood on the TL, especailly if they want it to outpace the 262... Heavy canopy framing is so 1943...