[vmception]

It will literally be international news (in crypto circles) when a transaction like that gets mined.

People frantically contact all the mining pools to see who mined it and if they will return the funds to the sending address.

This has happened many times and they usually do return it, because people have nearly universal consensus that it was a mistake.

Kind of not a great way because it is too conspicuous.

There was one time this happened that was interesting and intended to be conspicuous:

Some hackers got access to an exchange, but the exchange had some pretty good security and would not let them withdraw large amounts, but the hackers could set the transaction fee. So they started burning all the exchange's money by distributing them to miners with this high transaction fee, to let the exchange know they were serious and needed their demands met.

Could they have coordinated with a miner and nobody would be the wiser? Sure.

[latchkey]

This is effectively MEV on ETH. Happens all the time.