Considering that they needed Wagner to take over many areas in Ukraine and their military couldn't do it, it'll be a huge headache.
It also destroys Putin's reputation of being in full charge. Think about the impact on the public, Putin has total informational control over Russia and this fucks him over.
Remember, they used to say that Wagner's head would be cut off quickly if they ever "think" of going against Putin and there you go, it's all BS.