Yes, that is basically what it does. I first got a TH pedal, and ran it into the effects return on my GB Shuttle, effectively turning the Shuttle into a power amp for the pedal. It sounded so good, in the end I sold both the pedal and the amp and used the $$$ to fund buying a TH350 head.
Ultimately the TH heads are more flexible in that the AGS is variable, although some might argue that you lose the ability to switch that feature on and off. Some people might also want to keep the ability to "switch back" to their other amp's sound. But if you become smitten with the Aguilar TH tone like I did, I'd suggest selling the pedal and your TC amp, and going out to buy a TH500. Or, even better, sell the TC for the TH, keep the pedal, and use it to give you a "second channel", something I hope to do someday when I can add back in another TH pedal.