Cutting hard stuff dry on a lathe or mill is std industry practice.
Hard turning or hard milling.

Haas machines do it quite well.
When I was at Haas Spain as the sales manager, I went to see some customers who did hard milling.
Looked just like the video.
Typically, the finish is very good, and the accuracy can be very good.

(Also had an insane 500 ton press, from england, about 80 years old, in use).