Boy, that's tough. You know these guys all have talent, it's just not working so far.
I'm probably more likely to give White a pass because he has been dinged up. If he gets healthy, he can get right.
Here is a cautionary tale from my own experiences..
In 2011 I was crazy high on the value for Marshawn Lynch when he had just come to Seattle. He was my 5th round pick in my favorite league, and I took him as my 1st RB. Needless to say, I had a ton of faith.
My faith was quickly crushed though as he came out of the gate about as slow as he possibly could. His first 3 games looked like this :
Week 1: 13 carries, 33 yards, no TDs
Week 2: 6 carries, 11 yards, no TDs
Week 3: 19 carries, 73 yards, no TDs
Averaging less than 4 points per game, I had officially struck out on this guy. I had opened 0-3 and couldn't wait any longer. I dropped Lynch and no one even picked him up.
The rest of the year he compiled an additional 1100 yards and 13 total TDs. Over that stretch, he was a top 3 fantasy RB.
I got myself a win in week 4 and climbed out of the basement of the league. I went to go pick Lynch back up after seeing him finally hit the end zone in week 4. Unfortunately, I had scored more points than 1 of the other 1-3 teams, and he was claimed in front of me. That owner rode Lynch all the way to a 7-6 record and a playoff berth while I missed out.
I cant even remember who I picked up when I dropped Lynch. It's haunted me for 2 years now.
The moral of the story... You can give up on players who were all flash but have never popped. You can't give up on players who are hyper skilled though.