I have to confess I've not tried, but IIRC, if that works, it shouldn't. The ice detection probe is located upstream of the fan and in turn the bleed air providing inlet anti-ice. In otherwords, the inlet heat doesn't heat the detector; therefore the inlet ice warning (should) only tell you when icing conditions exists, not that the engines have been sufficiently heated themselves. I hope that makes sense.
You'll also get a performance penalty for having anti-ice on too.
You can change the Home waypoint to one closer to you, that might help.