For my take on this...
I do like that Bear shows you how to get out of certain situations if you find yourself stuck in one (such as a bog for example). And he does seem to go into a bit more detail about the wild edibles than Les does, which I definitely like.
But some of the things Bear does would be foolish to do if you're stuck in the middle of BFE by yourself as it could cause serious injury to those without proper training. It's all well and good if you've got a safety crew there to save your ass if you **** up, but for some average joe stuck out in the wilderness, they should definitely not attempt most of the survival stunts he does.
Not to mention that the first rule when your stuck in the out in the wild is usually to sit tight, set up a camp, and wait for rescue. Whereas Bear immediately goes off to rescue himself. That can come in handy, depending on your situation, but it does send a wrong message for those who don't know any better as those who aren't in the physical shape Bear is in, or had the training he has would most likely be screwed.
As for Les, I think the scenarios in which he strands himself in are much more realistic (kayak washed out, dirt bike or snowmobile out of fuel, plane crash, etc).
He's definitely the more practical of the two. If I were stuck in a survival situation I'd go about getting a shelter, fire, and food together instead of immediately running off to try and escape. After all, sitting tight is usually the best course of action anyway. I've read many a story where a man lost in the wilds has simply walked himself right out of the search zone of the rescue teams.
The only thing I don't like about Les is that he doesn't show you proper cleaning techniques on the animals he kills, and doesn't go into better detail on the edible and non-edible plants in the area.
That and he tends to come off as a whiner some times.
In closing, if I were stuck out in the middle of nowhere I'd definitely try to do what Les does over Bear.