given how vtubestudio handles animation, unless its rigged specifically to support both tracking and animations at the same time my leveraging weights, animations on mouth will not work on top of the vtspog params. Same thing as it happens with normal models with the normal mouth params that come vanilla with vtubestudio.
Its not fully impossible to have iddle animations affecting both, but it will be hard to pulloff for sure by tinkering a lot on the live2d rigging side