Second things first...it doesn't show up on your state refunds because it wasn't reported on a 1099-G. But you still treat it like a state refund.
As for the SALT limit, whether or not you derived a benefit from the kicker depends on what those other amounts were. But since the kicker is a refund of income taxes, then it depends on whether you could get to the $10,000 cap without the income taxes.
Take a look at this IRS page to see how the taxable portion of a state tax refund is calculated. Look at the link for the IRS ruling at the top for some examples.
If this doesn't make sense, come back and tell us the amounts in the State and Local taxes, and let's try to work it out.
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