If the Russians lose the Kherson, it could cost them the whole war or at least put them back years. The Kremlin really just needs to swallow its pride and unleash the floodgates. They should be snatching men off the street and training them for battle. Right now, it seems like they're just hoping winter will come and do the job for them.
Nah, they are going to turn Kherson into a pocket that is pounded by arty 24/7 and only supplied by raft, and that's only till the attack out of Kharkiv cuts/get's in range of the supply lines on the other side of the Dnieper too.
The fall mud season is in about 10~ weeks, and once that happens tanks and heavy vehicles will by stuck on main roads till the heavy freezes.
The Ukrainian's don't need to assault Kherson, they need to pound it and hold the Russian forces there, so those Ru forces cannot break out to hit the attack out of Kharkiv.
If Ukraine plays this right, they can push into the rear of the Russian forces, before the ground turns to mud, and force the Russians back into the Donbass before the of the year.
I think Ukraine can get it's 2014 borders back, and remove Russia from the Donbass, if they can keep fucking over Russian logistics chains so their material reserves and Nork purchases are render moot.
Edit: Also, looks like around 48k Russian's have been killed, based on this document and some simple math.