I used to have "some" moss in my tank with Amano shrimps and Dwarf puffers but every time the moss just kept slowly withering/disappearing. Eventually I just gave up putting more moss in. Now you mention how it looks after being stripped by SAE.... I think mine must have been stripped by the Amanos. Still, maybe my balls of string (in other tanks) need to be tied to wood in order to grow like yours
The only moss that has been growing ok'ish is my willow moss in another Dwarf puffer tank with cherries.

The only moss that has been growing ok'ish is my willow moss in another Dwarf puffer tank with cherries.