Sorry to hear of this mess.
I think it does depend on the blend of TPE and Silicone, but as far as I know in the long term,(more than an hour's contact) they do not get along.
One will tend to soak out the oils from the other.
You may or may not know this, but in case you don't, one thing some of the TPE makers do is fill their doll's boobs with air instead of gells.
So perhaps an alternative fix would be to inflate them with air. just enough to fill them, but not so much that they become hard.