Pros

1. No chargebacks
2. Instantaneous settlement
3. Truly global. No need for complicated interbank rules
4. Peer to peer. Bank can't screw with you or your clients.
5. Lower processing fees than credit card, which are usually absorbed by the merchant. (LN processing fees around 0.1%, credit card processing fees around 2-3%)

Cons

1. Technical headaches of the lightning network.

But IMO the con is pretty minimal, esp if you willing to use custodial solutions (which I think is totally fine as long as you don't float a large amount with the custodian.)