Welcome to FT!
No first hand experience but I would be surprised if you don't get M/M miles like any other NH flight. I have been on numerous SK and SN flights operated by Cityjet and received miles/points like normal SK or SN flight. The same with LH flights operated by Air Dolomiti. If this is not a NH flight you would be able to tell from the NH flight No - NH804 is a regular NH flight.