Just dropping these two links to listen some ideas from more involved dev, and if these could be a really bad issue for Lightning:

This comes from Ariard a well note LN dev.

https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2023-October/021999.html

here the issue description:

https://github.com/ariard/mempool-research/blob/2023-10-replacement-paper/replacement-cycling.pdf

Waiting for you opinions, and sorry if it's been yet discussed on SN.