Looks like LN will be supported, since they are using TripleA as the payment processor:

Our crypto payments services support Lightning Network.

It allows fast and cheap payments directly between two parties by keeping the transactions off the main network.

I have heard of Lightning Network (LN)? What is it? Do you use it?
https://triple-a.io/triplea-support/i-have-heard-of-lightning-network-ln-what-is-it-do-you-use-it/