Well, I did it for 1 week, and I think that if you rightly do the math it's quite obvious which trooper is not fair.

But I would advise to:
- restart the game often
- do not blame too quick trooper, bug happens often...

After one week without a name or 2 popping and if math shows 2 or 3 missing badges, I think it worth it to drop
the trooper :P