Right ride, right hands and technique, mic under, eq it way thinner. If you want it less washy, try a transient designer like the one in reaper reducing the resonance and leave that to the OHs/room.
In the first video, it took me 2 seconds to notice that he's touching the ride, not hitting it. He plays the ride so soft with the tip that the sound can get very clear but not ping-y. And yes, regular sticks will do it if you use new ones with the right cymbal. Sounds like a thick 24 or 22" with plenty of eq