Gateway pundit mention vaccine connections, but the other article talks about complications or long term effects of COVID. I am not sure how you tell the two apart.
In the long covid literature and online info/groups I've given up trying to find a breakdown between those who've had covid and are unvaxxed, or those who've had covid and have been vaxxed.
There is also no breakdown between those are those who got vaxxed and never got covid,
those who got covid then got vaxxed and those who got vaxxed and then got covid.
I'm sure the data exists, it's just not accessible.