I think these are the types of players who would complain. They wouldn't play like Babcock wanted (i.e., feet moving, responsible defensively and 100% effort). And because of that, Babcock was colder to them. So, of course they're going to complain. Funny thing is, the type of player who would complains is exactly the type of player Babcock doesn't like.
I'm sure Datsyuk and Zetterberg think Babcock is pretty harsh sometimes. But, they understand that what he's trying to do is helping them and the team, so they just listen and never complain. As a result, Babcock has utmost trust and respect for them in return.
I have no doubt that there are ex-wings and ex-ducks around the NHL who hate Babcock for precisely the reasons already stated. And I have no doubt that UFAs who are looking for an easy paycheck for no effort would want to avoid Babs and the Wings.
What is interesting is guys like Hudler. Remember when he used to be a 4th liner and was putting up points every night, Babcock's response was to bust his ass every night to the media and continue to limit his minutes. Why? To push him to be better. Conversely, when Hudler got back from a year of snorting coke off of eastern european hookers and had a confidence level lower than a snakes belly what does Babcock do? Whilst LGW was going nuts calling for Hudler to be flogged till his play improved, Babcock continued to play him, even putting him on the first line, until Hudlers confidence and numbers returned.
I reckon he learned something when he was doing that Sports Physchology degree