That's the point of them. When the electricity is stolen from someone else and the generated coins go to you then all generated coins are profit. If they could generate one cent of cryptocurrency for less than one cent of electricity they'd just mine regularly.
It will if you use it to reward yourself as you build your own auto-playing video advertisement platform and crowdsource a rating system aimed at media moguls with high-end machines. You may even earn enough to one day party your electric bill.
The proof of work's intent is thus. For the most part, anyways. At equilibrium, the optimistic miners seem to always drive up difficulty beyond a neutral investment.
Not being called Microsoft and having the rights to open source parts of Minecraft would dictate the answer to your question. But you assume I'm the one mining. And you know what they say about assumption?
They are perhaps better at forcing user to install adblockers?
I can generally tolerate ads, but when I notice laggy browsing and my laptop’s fan spinning up at max speed, I leave the site pretty quickly, or switch to adblocked browser.
On top of that the miner is opt-out and (hopefully) throttled to 30% thread/cpu use (based on session and without cookie) and only while reliably detecting a page is actively in use.
The application of advertisements and the ad industry in general to crypto is IMO the antithesis of the Crypto Anarchist Manifesto[^1]. What are your thoughts on this matter?