>I don't really understand why there is resistance to in-browser Anubis-style gating using crypto mining for public sites like this.

But in the case of anubis it's not even used for crypto. It's just wasted.

>You mine crypto and my free service remains cost-neutral. Yes, that transfers some of the cost to you, but it is marginal.

No, the problem is time wasted. I don't care about the electricity cost. Spending 10s to solve a challenge on a 5W SoC translates to 0.0005 cents (yes, cents, not dollars). Meanwhile if I click on a link and it doesn't load in 5s, I'm seriously questioning the value of your blog or whatever, and will probably just close the tab.