Zero chances it will end the war. Russians are used to swapping out regimes all the time.
This is just an infighting between two criminals, whoever wins is not going to be better for anyone.
Wanger is war fighting force, they're not a peace-keeping unit, they'll keep the war going if it benefits them.
The benefit is a distraction on the Russian military side, it may give the counteroffensive from Ukraine a tiny boost. The real impact is probably negligent, it's not going to make any major changes.
Also, FYI: it's not "Ukrainian invasion", Ukraine isn't invading anyone.
It's full-on war between Ukraine and Russia.
The impact on this isn't going to stop the war, only a surrender/peace agreement and full withdrawal of all Russian troops from Ukraine's 1991 borders will end the war.
Russians are used to swapping out regimes and leaderships all the time, so this may not change anything and the war against Ukraine can still continue under a different regime.
Full coup won't end war, the assumption is that Wanger is for peace, it's a war-fighting merc company, war benefits them.