I would sure like to see the raw data, how it was collected, the parameters and the control group.
For instance, it would stand to reason that if someone contracted Covid at the same time as they had the flu, Covid would then do more damage because it was attacking an immune system already weakened by a Flu. That might also be true for someone who just recovered from the flu or was in the very early stages of Flu.
Consequently, having a Flu vaccine would eliminate the Flu as an added problem. If one of 33 people hospitalized with Covid also had, just contracted or just recovered from, the Flu, then there is a 3.3% variable that has not been accounted for. That's just one reason that makes medical studies so absolutely difficult to conduct and make reliable.
It would be nice, however, to think your post is spot on correct. particularly since I always get a Flu shot.
"Libenter homines id quod volunt credunt"