It is more complicated than to say yes or no to this.
I/K can split and there is nothing the Rus Fed can do about that. But the Rus Fed exercises almost complete control over who is/can be partnered. So the Rus Fed can ABSOLUTELY be saying to I/K and S/Z right now, you guys split if you want to, but if you split, believe you me we will NOT parter you together, K and S, and we haven't decided if we will place you with anyone at all.
So essentially, the fed can end their skating careers for them if they split, should they choose to do so.
The only way out of this for them would be to leave Russia and find a non Russian coach on their own dime. To say this is probably completely infeasible for them is an understatement.
We already have an opinion of V.Piseev (G.M. of Rus Fed). It's 'unacceptable' for him. So I take it's a 'No'.
If what you said is true (I'm sure it's very close to the truth at least) than I/K/M are in a very difficult situation. I hope they (I/K) will stay together and go to different coach. It's the only 'safe' solution, it'll please almost everyone.