I don’t think you get stuck HTLCs when circular rebalancing. I’ve only ever either been successful, or have had the payment time out and fail (or a few other errors like no route).

I’m not sure about knocking other peers channels out of balance. When you preform a circular rebalancing, you typically bring at least two channels into balance by sending a transaction to even them up. I suppose if it’s a route with a lot of hops there could be channels in between that become unbalanced but that’s definitely not a critical issue and is something each individual node needs to account for when setting their fees.

How does peerswap + liquid work without affecting your peers channel balance? Doesn’t sound right to me.