Just from this season, you mentioned the Lukaku one - I don't like him at all, but I don't see why he would lie about something like that. The Pogba injuries, he should not have played against Rochdale and Arsenal when he aggravated the problem even further.
In general our injury record has been appalling for many years and I don't know if that is a problem with the conditioning of the team or the recovery part, which also includes injury prevention and catching small problems before they become a lot worse.
Even Mourinho was moaning about that a lot at some point of his tenure here.