You've stated that your main interest is status. Good news here, all Hilton stays booked through Hilton (Hilton website, Hilton HHonors call centre, hotel themselves etc) qualify for nights and stay credit. Doesn't matter if it's a money (cash) booking, reward (points) booking, or points+cash booking, all will count towards status by nights or stays.
It's largely only bookings made through third parties (eg OTAs) that won't count. As a general rule, if you book it with Hilton themselves it counts, if you book elsewhere it won't. (Exact rules are a little more complicated, as there are some edge cases, see the FlyerTalk HHonors forum for the gory details...)
Speaking of FlyerTalk, there's a Points and Money definitive thread there, which will have all the answers you could ever want, hidden somewhere amid lots of discussion. (That's FlyerTalk for you!)
There's a slight wrinkle on points earning though. While your points+money booking will earn you nights and stay credit, it is counted as a reward booking. As such, you can earn points on extras you spend at the hotel (eg restaurant meals, drinks in the bar), but not on the cash portion of the points+money booking. If you were trying to make status on points earning (instead of by nights or by stays) this would be an issue. (See the HHonors site for what those different thresholds are, and the HHonors Terms and Conditions for the full details on what you can and can't earn on)
- Status (stay / nights) credit - yes
- Points on the cash portion - no
- Points on extras (food / drinks / etc) - yes