As much as I'm avoiding GenAI myself⁰ I think your reaction is what feels a bit weird. You wouldn't be sending a tip for simply prompting the LLM, but for having the original idea and verifying/testing the result. If you don't feel right donating for that, then don't. Seeing a “buy me a coffee” link is hardly onerous, and it isn't exactly in-your-face here (I didn't notice at all until your comment mentioned it).

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[0] I want to code, I like the nitty-gritty, and if I want to outsource I'd prefer to outsource to a human¹ than GenAI

[1] they might outsource to GenAI of course, that is their choice and as long as they properly verify the output before handing it on to me I shouldn't have to care