I think the difference is that Tim may say he wants certain people out but when it comes to nomination his actions speak louder than words. He's never nominated Jade, Ben, Tahan or Drew. In fact out of all the remaining HMs the only ones he's nominated have been Ed (4 times) , Mikkayla (the first week) and K/L (the most recent one).
Drew however has nominated Ben, Ed, Tahan and K/L all twice and Mikk and bloody Jade of all people once.
That's the main difference between the two of them.: Tim may get annoyed with people - as I think any of us would - and may try to stir things up but he has had his friends' backs the whole way through. The only back Drew has had is his own and to some extent Tully's. The game is over for him.