The perk "Can't Touch That" is great for immersion, but it becomes immersion breaking instead when the perk "Psychic" or the skill "Telekinesis" is on, since with the latter one can do much more complex things without hands than picking up items.
Personal anecdote: I once put on my petsuit, feeling finally ready for it, in a Key Hunt level, and realized that I can't pick up the key! I then looked for spell points to unlock telekinesis, only to realize that it doesn't help either. It would be great gameplay if it does help!
The perk "Unfair Doors" can also be considered similarly, but I think it's less of an immersion breaking problem than "Can't Touch That", and it forces the player to unlock teleporting skills which is great. I'd say "Unfair Doors" should be kept as is.
