My admittedly neophyte understanding is that a) RSUs are counted as income, b) if income exceeds some threshold the entirety of it is subject to a higher AMT rate.
Without AMT, if you got stock and paid taxes in stock, you wouldn't care about the effect on taxes if the stock price later tanked. With AMT, however, you get screwed.
However, I am unaware of a similar problem existing for RSUs. AFAIK, they are treated the same for AMT and the ordinary system meaning they shouldn't ever "push you into AMT"
If anything, it argues you are less likely to be in AMT with RSUs:
"In years when large blocks of RSUs vest, your ordinary income tax will usually exceed your AMT due to the additional ordinary income. As long as that’s the case—you’re not in AMT—you can use state income tax and property tax deductions to reduce your ordinary income tax liability. If you’re likely to be in AMT next year (say, because you’ll have fewer RSUs vesting), ...."
Do you have an example where someone's AMT would be higher with RSUs than ordinary taxes?