Don't see any thing I'd consider white/washed out.
The first vid looks kinda dull so I'll skip that, let's check out the lighting in the 2nd vid.
Look at the catchlights in the eyes and the shadows (or lack of) under the nose, chin, in the background. If you look at her other videos, there are a number with similar lighting, maybe different rooms in the same property? Anything with a huge window that allows a lot of natural light, and the walls are all white and serve as reflectors, will probably do the trick. In a not so great location, I imagine you would need a large softbox/diffuser as the keylight, and some other lights to bounce around to lift the ambient to match the subject... Just some rough thoughts. Always easier if you can find the right location, and use it at the right time.
Just check out one of the other vids about the home and I think the key is there:
Video 1:
Use lower contrast setting if you can change picture profile. Lift black a tad in post if you can't.
Video 2:
Raise highlight and lower black a tad in post. Compensate with midtone.
