What I'm more familiar with is overseas residency and federal taxes. There are benefits to establishing legal residency outside the US, if you really do live and work outside the US. But then you have to be able to prove it to the IRS. If you can establish a bona fide overseas residency, you get substantial federal tax discounts (like ~$100k tax-free income), and don't have to pay state tax anywhere. But if you spend more than 33 days per year in the US, the burden of proof for establishing a bona fide foreign residency are higher[1].
Edit: update since I can't nest any more replies (to @dragonwriter) below: I sorta changed topics; my paragraph above about foreign residency is only relevant if you're earning foreign income. If you're a US citizen working for a US company, you're not getting away from taxes that way. But you can still save yourself from some personal obligation by setting up a company.
[1]: https://www.irs.gov/individuals/international-taxpayers/fore...
ADDED: It appears that the threshold is essentially non-existent in many states. https://www.concur.com/newsroom/article/what-are-state-tax-i... (I think this is the solution my friend's company is actually using.)
That’s...not true. State income tax is usually due on dollars earned in the state — it used to be usually the union of (dollars earned by residents) and (dollars earned by work in the state) but a 2015 federal court decision required it to be one or the other, and AFAIK every state with an income tax has chosen the latter over the former because, basically, resident citizens vote in the state while citizens resident in other states, the most common nonresident citizen workers, don’t. So, a bona fide overseas residence doesn't have any effect on state income tax liability.
It also puts your manager at risk to do it - if you tell them, then they know it’s happening and have to do something about it.
The second point is more significant. Even with almost 100% remote work it's hard to systematically hide where you are from everyone--especially if you do any business travel or expense reimbursement or are in a materially different timezone or climate.
If you're not filing expense reports, will a company "know"? Possibly not. But it seems pretty precarious to expose yourself and the company at risk this way.