i can run a lightning wallet right now and it is not fixed to only work on bitcoin.
without having to download a different wallet for each bridge
(EG like litecoin electrum is a different software than bitcoin electrum)
(EG like litecoin core is a different software than bitcoin core)

using the same lightning wallet software i can set up a channel with many crypto networks.
i can run the same lightning software and have litecoin and a different crypto channels both active.

lightning network can work without bitcoin even when partnering with users that have bitcoin channels
maybe by admitting to this you might be able to explain the positives of such, like highlighting atomic swaps