Either I've misunderstood you or you're wrong.
When in movies, (in pictures it makes no sense), you have Standard Stabilization (only sensor movement and/or lens optical one) an also Active one which is what I think you're asking for (which for sure it means an additional sensor crop).
https://helpguide.sony.net/ilc/2320/v1/en/contents/0412B_movie_steadyshot.html?search=Stabilization
There is a third level of Sony stabilization that adds "dynamic" to the active stabilization. It involves an additional crop, but is as smooth as anything I have seen on m43 (and some compare it to gimbal smoothness).
https://helpguide.sony.net/ilc/2370/v1/en/contents/0412B_movie_steadyshot.html?search=stabilization
That said, I should have called it dynamic active, not dynamic image to avoid confusion.
Ok!
Nevertheless, have you googled if that Dynamic Active what actually means is "APS-C crop and then even an additional Active crop"?
Because if that were the case you'd have your answer...
(Or easier, have you more or less "measured" the Dynamic crop as an APS-C one?
a7CR is a 61 Mpx Full-frame. You've got "tons" of resolution to crop for. But a6700 doesn't have so much room.)