Not specifically referring to Babcock, but there is a fine line between coaching 'old school' methods that worked, and those that went too far. There's also another fine line between tough coaches and younger players who are used to being coddled and handled with kid gloves. Somewhere in between is a sweet spot, but that will vary with each individual.
Makes you wonder how Scotty Bowman would have done in this day and age. Despite the Canadiens winning those four straight Cups in the late 70s, it's been (jokingly?) stated that his players hated him for 364 days of the year, other than the day they'd win the Cup. Obviously that's an exaggeration to some degree, but probably a lot of truth in that. But they ALL agreed that Bowman made them better players, and many of them have multiple rings to show for it.
That philosophy wouldn't fly today. Sheesh, look at how many players have asked to be traded from Tortorella-coached teams over the years. Ditto Sutter, Cassidy, Vigneault, Laviolette, etc.