Well it is true except for the Ducks one which he deserves credit for.
Which coach has won a cup without a stacked roster or an insanely hot goalie? Do people forget what Dave Lewis did with an even more stacked Red Wings team? You can attack any successful coaches record on "but it was a stacked roster." I mean, Scotty Bowman only won the cup when he had either the dynasty Habs, Mario Lemieux (inheriting a team that won the cup), and a team with a core of Yzerman, Fedorov, and Lidstrom.
The only semi-recent cup win you can't really attack on that merit is Carolina, who were the first team to figure out how to exploit the removal of the red-line and had a good veteran roster when many of the elite teams were broken up by the implementation of the cap.
Is Babcock perfect? Absolutely not. He has clear flaws. But, he has produced quality results wherever he has been and is probably the only coach who has been with two or more organizations that hasn't been fired (left both times due to the contract expiring with both organizations making an attempt to keep him).
Now, if we continue down this path, I'm fine with firing Babs. But, its easy to blame the coaching than look at some of the hard truths about this team. It has obvious flaws too. Does that eliminate us from competing this year for a cup? No. Very few teams are perfect in a cap world. But, these issues aren't just Babs, Willy, Gardiner, and a struggling Matthews. Hopefully, we turn it around soon and play like we know this team can.