That, in sum, is the sort of thing the Acoustasonic format encourages.
That said, it can be pressed into service of many different kinds of styles, perhaps some that are all your own. It is warmer, with a little more width than you’d expect from a Tele’s bridge pickup. Fender promises twang but this isn’t Pete Anderson levels of twang.
Park yourself on position one for a more traditional electric guitar experience, but don’t necessarily expect a traditional Telecaster experience. In a sense, this is a sound that almost exists outside of the spectrum of acoustic/electric tones, and is sure to support pedalboard experimentation. The sound is just coming from the piezo and as you turn the blend control it adds drive. Here is where the true hybrid tones are, and as such, there are fewer references for what we are hearing.