One thing a person should never try is to march on Moscow in defiance of the Russian Federation Army.
* In June 1812, Napoleon, despite the treaty of allies with the Soviets, ventured with 900,000 French soldiers to march on Moscow. Mysteriously by December 1812, Napoleon had to turn back to Paris with only 20,000 soldiers able to stand.
* Charles XII tried it,
* Hitler tried it.
Nobody managed to march on Moscow and stayed alive afterwards.
Don't forget the Bolsheviks.
Right now we know nothing to predict in which way the wind will blow. The PMCs have managed to reach to Moscow unmolested. That says that there is little in way of actual control by Putin over whatever forces there are in the vicinity of Moscow or there are communication gaps. Most likely Putin is yet figuring out which forces are loyal to him and how hard he wants to bring down the hammer, if he has the forces.
It is always different how the use of force would play out in a civil war. Especially since the blood spilled will all be Russian including the potential collateral damage.
Not to forget Russia is engaged in an actual war which prevents Putin from drawing a bigger sabre he might otherwise have. Also, people have lost there dear ones in the protracted war and many would like to see the war ended.
Btw, some people here were saying Wagners are only 25K. That is 25K battle hardened guys with strong sense of if brotherhood forged under fire. At the end of the day it doesn't matter how many soldiers may not accept Wagner, but how many of them who are in position to prevent Wagner from taking over actually decides to fight them.
In a civil war, the sands move pretty fast and who gets dragged down the quicksand may come down to the action of a single soldier shooting under order or not shooting despite the order. Soldiers have a hivemind when it comes to the brotherhood. Any general can issue any order, but in a civil war a captain might make a move that decides the fate of a nation. Remember Napoleon in the French revolution. Many claims that his decisive action saved the revolution, and he was a young captain during battle of Toulon.
So, lets not be too eager to predict anything just yet.