Breakthrough: Hermetic Teacher

Well, no, I don't think so. The difference between Hermetic Virtues and Supernatural Virtues is that Hermetic Virtues work within the Hermetic system of magic. That's canon. And the rules reflect that, as seen on P29 of True Lineages, "Breakthroughs in Play", paragraph three. "Major Breakthroughs still work within the Hermetic system, and are often Hermetic Virtues, so that learning one is not as difficult as learning a Supernatural Virtue. You do not need to subtract your total Hermetic Arts score from the Source Quality of the teaching score. A second exception is that, although Major Breakthroughs will most likely teach a Hermetic Virtue that does not have an associated Ability in game terms, they may still be taught in this manner.". The Gentle Gift is a Hermetic Virtue, it can be taught, and easily because you don't have to subtract your Hermetic Arts total. Canon. (And the rule about having one Hermetic Virtue only applies at Character Creation.) All integrating does, at this point, is get rid of some of the scut work. But there is nothing in the "Breakthroughs in Play" section that even implies that a breakthrough cannot be integrated into Hermetic Theory. Allowing a breakthrough is all on the ST. Once it's been allowed, stopping the integration is against canon.