I hate chain whips...

[p nut]

Are you hamfisting the lock ring on there? Maybe not so tight and a tab of grease would do the trick.

I also use a huge/heavy pipe wrench on the lock ring tool when unscrewing. It seems to be almost effortless. I don’t ever have instances where you’re pushing like crazy and all of the sudden it lets go. I’ve had that happen plenty with small wrenches.