Trying from wos and bluewallet, bluewallet does work on desktop with damus.
Discussion
I do think the wallet when sending shouldn't matter as the clients take the bolt11 and send some more stuff. It's important when receiving in terms of lnaddress to support nip57.
I could very well be wrong but there is something the wallet providers must add for the nostr clients to recognize it as a zap.
And right now few wallets support. Stacker news. Strike. And WoS at the moment. All custodial.