Respectfully,
Sadly , Frog Lube has a lot of "sticky" stories on the internet.
We all know lubes can work great for some people, and then work like poop for others.
The only way to know if your firearm likes a lube is to try it. ( Or not )
I remember when FireClean lube came out.. it really did wipe clean easier then anything else I had tried... But, if I lubed up my AR with it, and let them sit in the safe for 2 weeks, every AR had a "stuck" BCG, as in I had to REALLY yank on the charging handle to break the BCG free.
As for the OP's question, Yes I lube my 22LR BCG's.. cleaning rifles is just part of the "fun"
FWIW, I currently , really like the ALG Go Juice.