

The problem is that the biggest service Cloudflare provides is DDoS protection, and doing that requires that you have more bandwidth available than your attacker. Having enough bandwidth to withstand modern botnet powered DDoS attacks is ridiculously expensive (and it’s also a finite resource, there’s only so much backbone infrastructure). Basically it’s economically infeasible to have multiple companies providing the service Cloudflare does. You might be able to get away with two companies doing so, but it’s unlikely you could manage more than that without some of them starting to go bankrupt.
In a normal military this would be a pretty big deal, but Russia has long used the strategy of “keep throwing bodies at them until you win”. That’s also likely the reason their navy and air force are a joke as that strategy doesn’t work so well when you have a finite number of craft to send those bodies on. There’s a reason that Ukraine’s tiny well trained military has been able to use guerrilla tactics to wipe the floor with Russia’s military.
So unfortunately this is likely to make little if any difference, Putin will just find a new piece of meat to stuff into that uniform and then kick him towards the front line. What does make a huge difference though is every time they manage to destroy a piece of Russian hardware (be that a boat, plane, tank, or artillery) as Russia has a very hard time replacing those unlike their practically unlimited supply of cannon fodder.