Hi, Never heard for such. It is really strange question. If you want to try at your risk, for sure have to use Scalar mode, not DTC. Also not earthed common point of phases of the heater. Most probably without success.
I can see, you already have AC drive, but better, cheaper and technically possible for such applications is using of DC drive. There are non-motoric applications for such - heater, magnet e.t.c.