A more accurate statement would have been "you can get better sound quality out of wired headphones at every price point". But you definitely aren't guaranteed to get better quality.
However much money you are willing to spend on headphones, with a tiny bit of research, you will find a wired option with dramatically better quality.
But also, the very low end of wired headphones are truly, truly abysmal, but getting wireless at those price-points is just literally impossible.
$20 is enough to get pretty decent sound quality (better than my ~$100 Samsung Galaxy Buds)
I don't know about that, I still get analog noise all the time. Maybe it's just due to using a cheap DAC?
They also sell wireless earbuds and headphones with replaceable batteries.
I think the solution is to ship wireless earphones with a usb-c capability, and ship smartphones with multiple usb ports.