No doubt, if they had separated the jabbed from the unjabbed, their paper would never have made it to publication though.
You know how things get done. Maybe they leave the real information in the appendix now.
The trouble is that even in the appendix, there is no way of determining which of the 5 "Long COVID" group members weren't jabbed. So the data remains conflated.
Maybe they need an appendix to the appendix that has a table that maps the participant ID to the number of jabs they got.