Yes separate "support" button for the publication makes sense. There's this widget https://widgets.twentyuno.net/ which you can embed using "Code injections".

I think zap split btw author and publication makes total sense, even if author didn't explicitly "allow" it. Information is free and basically impossible to protect after it's published, good thing on Nostr is it's all signed and the author is explicit, so if some publisher wants to boost author's content and get some split out of that - that's probably better than nothing.

We don't plan to get rev share from every zap on every site - that's bad incentive for us, we don't want to become a middleman and maximize our revenue at the expense of publishers, authors and visitors. We just want to provide great software and "hosting" and get paid for that.