Reasons why you would want to use Monero over running your own Lightning node:
-No need to fund channels before you can even use it
-Has static/offline addresses
-Cant be rugged if node goes offline
-Cant be force closed (wasting time and money)
-Cant fail to route a payment
-Larger payments wont fail
-Has strong privacy by default (no technical hurdles to jump to achieve okayish privacy)
Reasons why you would want to use Monero over non-custodial wallets that require LSPs:
-Permissionless
-Stronger default privacy than the previous comparison
-Don't want to pay extra to a third party to transact
-Wallet isn't useless if their centralized node goes down
Reasons why you would want to use Monero over custodial Lightning:
-Self-custodial
-Permissionless
-Even STRONGER default privacy than the previous two comparison
-Wallet isn't useless if a centralized database goes down
-All your BTC isn't obliterated if a centralized database goes down
Hope this helps