So offer it for simple cases. If you don’t like the way it’s done, you can always go and do the simple process you’re describing
Sure, that would be simple enough for them to mail you a letter with like “we’re aware of these incomes from these employers” and any failure to file additional income on your part makes you liable. And of course not filing to claim any credits/deductions on your part just screws your out of your own money.
But then that also assumes the IRS knows your address. Does your employer even report your address when your taxes are withheld from your paycheck? And what if you move in the time between then?
I would be very surprised if they didn’t know the address of every taxpayer, and I do believe it’s reported by the companies you work for. If you move, you can fill out a change of address form with the postal service today, which makes the new address generally available. If they really don’t have any way of knowing currently, it would be worth every penny of my taxes to just make an online portal available where you can enter that information yourself.