I doubt that in Replay mode and TC you get the same behaviour you would get with TC by itself. With TC you set a T limit and perhaps a preheat. When you draw a puff, first prehat will be applied for the time set, unless the coil reaches the T limit earlier than this; then chosen power will be maintained, except if the coil resistivity rises to the limit. In which case the chip will try to keep that limit.
In Replay you choose to play a puff which might have started at a given resistivity and ended at a certain level above that. The chip would then strive to replicate that. But when you draw next puff you may have your coil cooler or hotter than your previous starting point. That's why I always get the impression that the initial boost is different from one draw to the next. You can check out on the Device Monitor: the Power applied varies quite frantically, whilst the chip is trying to replicate the various values of resistivity at a given time of the puff.
That behaviour will never happen in regular TC mode, where the power applied will always be the same, unless the coil reaches its T limit.