I record using a brio500 (i mainly chose it because of the design and the neat physical privacy shutter tbh, it's not that great of a camera)
The logitech one you wishlisted is probably fine, the other ones too, they probably won't be as good as your phone (most webcams in the sane pricerange aren't) but one thing I recommend is going into lighting, as even a small keylight or something that elevates you from the background does wonders for better tracking. :)
I have a 922 Pro, it's 1080p30, so not a 60 fps cam if you need to be in 1080p. I also hate it, it's hard to get the colors right, even in good light. For now I am only using it as a top down cam, and not my main cam. For my main can I use an Elgato Facecam MK.2. And that is a 1080p60 cam, and the colors are much better.
But to be honest, for a relatively cheap, and good webcam, with 4k30/1080p/60, I would have a look at the OBSBOT Meet 2. You can also get the OBSBOT Meet SE, at 1080p/100fps if you don't need the 4k resolution, for an even cheaper price.
Logitech C920 is still the goat for budget streaming tbh. Been using mine for like 3 years and it's solid, usually goes on sale for around $50-60. If you can stretch a bit more the C922 has better low light performance but honestly the difference isn't huge
AhimiVT
