Would a lightning invoice (not a nostr zap but a regular invoice) also give the information of the sender?
Discussion
I believe the only potential identifying information would be the IP address where the invoice is generated. Thus better privacy for the sender than the recipient. Here’s a pretty good article that summarizes lightning privacy and the various ways one can try to figure out who paid whom. https://voltage.cloud/blog/lightning-network-faq/lightning-network-privacy-explainer/