I'd like to see an injured player be able to train FT or Stamina.
your wish is our command. 'snap finger' there, you can train injured players in FT and stamina.

and as an extra bonus, we added game shape to that list.

(to be honest, this has always been possible, team training does train the entire team, regardless of injuries)
They are not your friends; they dispise you. I am the only one you can count on. Trust me.