I have a 10 speed set and chain but now have by bike set up on a 11 speed cassette on my Kickr. I have mis-shifts, but nothing terribly annoying. However I just noticed the wear developing on the chain plates. Thinking about going with an 11 speed chain with a connex quick link. While I’ll still get mis-shifts, thinking wear issues should go away. What are the issues running an 11 speed chain (5.6mm width) on a 10 speed cassette designed for 5.9mm width, when using the bike off the trainer?

I know the easy answer is just to put a 10 speed cassette on the kickr, and this may happen, just curious about other options, thanks.