That's about as literally what corporate taxes should be going to as it gets.
There are a decent number of companies that will let employees work from no-sales-tax states (FL, TX, NV, NH etc) without question, but for other states, if they do much business there but don't already have a "presence" there, then they'll have to start paying sales tax to that state on any business they do there.
https://en.wikipedia.org/wiki/South_Dakota_v._Wayfair,_Inc.
Sales tax needs to be paid regardless of presence.
I think you are right about employees. There needs to be some ID associated with state withholdings.
I think you are wrong if they are contractors. You just need to send the IRS the 1099 since there is no withholding done on money paid that way. The person receiving it plus the 1099 I send the IRS is enough for the IRS to confirm the income.
So it sounds like the workaround is that said MA company has to start a NH foreign entity, which I assume is all but free, and have that foreign entity pay the employees. That way they're "working remote" for a NH entity and sidestep all this nonsense.
But it's fair to say... why bother, just go back to using the rules you clearly understood to be fair which you were using earlier this year.
MA could charge an MA-based employer a payroll tax for out of state employees, but has no jurisdiction to charge the employees an income tax. A further legal theory is that it it would step on the federal constitutional power to regulate interstate commerce.
The most obvious artifact of 'where you set foot' is where you have your residence, and for taxation 'how long you're there per year' actually matters.
So if you spend > 1/2 of your waking life in Zone A, but sleep in Zone B ... well, it might make a little bit of sense to have some kind of tax regulation there, or not.
Because you get most services like water, roads, garbage, 'healthcare' where you 'reside' it's probably just easier to make it all about residence and that's that. But again, 'residence' is where you 'set foot the most'.
Somewhat related, if you’re on the books as working out of their backyard, they will again demand a toll.