I think every teams fans think their team is the most injured.
Packers were seemingly relatively healthy last year
Everyone always says "Packers top in soft tissue injuries/injuries", but I never see any backing data on anything. Just emotion.
Running the numbers on football reference for number of times appearing on Q/D/O/IR less games played when one of those designations, the Packers were 3rd in the NFC Central with 147 times. Chicago 105, Minn 181 and Detroit 292 (so that should equate to man games missed)
Guys are going to miss games. Guys are going to be injured. Packers had a few weird oddities this year where guys were out longer than expected (Alexander, Watson, Campbell, Jones), but I think some of that might have to do with the Packers seemingly being cautious with guys which probably has more to do with their more conservative medical staff as they always seem to have a large number of 'questionable guys'
Now, it is possible (probable) that Gizzi was fired for the issues with Alexander, Watson, Jones, but I don't think that the Packers were the walking wounded last year.