You can send anonymous zaps, it's just not widely implemented by clients yet. Snort has it and Nostros too
Discussion
I’m 50/50 on these. If zaps are anonymous, they should be anonymous sender and receiver
Anonymous senders and known receiver is a great vector for wash-zapping and gaming the system
Anonymous tipping was how it was before it got integrated into nostr.
Having the tip public on Nostr is useful but also a privacy hindrance in certain circumstances.
Your recieving LN Address is part of your profile. Some LN wallets are capable of paying to that address already. All the detail that's required is the address.
The trouble is getting the address from the profile to the wallet & people (like myself) not really having experience using LNURL addresses.
Often the text address isn't easily copied in a client. Worst case scenario - you type it out and check for typos.