Shout out for still rocking LSi15's ... I have a pair for my dedicated music listening setup (with an Anthem D1 I bought used for $300, and an OG Adcom GFA-555 I've had forever, and a Paradigm Defiance 15, w/crossover on the D1 at 80Hz) and I've loved them for music listening for many years now. Absolutely fantastic speakers for what they cost, esp. what you can find them priced for on the used market. They are SO smooth and balanced sounding, I never get listening fatigue, and they cast an amazing soundstage with a well-recorded stuff. I'll never sell these things.
That said, for my music listening, I'd not try to power them on an AVR unless it was on a very beefy flagship unit from the distant past ... I've tried in the past and other than AVR's with VERY beefy power amp sections it's always been ... eh. Need a dedicated amp that pumps out a ton of power and is stable down to 2Ohm. Even with an 80Hz crossover, IMHO. Something along the lines of a GFA-555.
Surely would not be expecting a $1300 AVR from 2022 to be up to the task, esp. not with the LCi/LSi9 needing juice as well.
Edit: I tried to use the same setup as you have for HT for a bit, but I just found the LCi to be lacking ... maybe I failed to set up properly but I just found it too 'small' sounding for my taste vs. the LSi15 and sold the LCi and LSi9's and went with something else. Wish I'd kept the LSi9's though, they're also great.