hmmm another thing about SSDI is that you have to have a certain number of (work) points within a specific time limit, not just total overall, just before you're injured etc. I had plenty of points but fell one quarter shy of the time limit (was within 10 years of my industrial injury) so no SSDI for me. I have other insurance covering me.... It all comes out of the same bucket though which is why you can't "double dip."
Glad you're getting some relief. Remember, your benefits are to be paid retroactively to when you first applied, not just when they approve you.