There are definitely times when the puck should be dumped in:
1) Your checking 4th line is on the ice
2) Line changes especially if your forwards are tired and a D is carrying the puck
3) Protecting a lead but that's arguable
4) Timing (end of period)
5) Penalty Kill
To me the 1st-3rd line dumping it in is pure situational, other than the above. Sometimes it is the safe play, and there's nothing wrong with that. Constantly carrying in the puck also has its consequences. Teams will pick up on it.
The problem with dump and chase is even if you get the puck back, usually it's not a high quality scoring chance. Funny how I typed that and now am reading the exact same thing in the article.
It's also funny that the first team I thought of is the Minnesota Wild, how they used advanced stats this last summer to change their game:
Yes, as it turns out. One prominent example: the Minnesota Wild, a classic dump-and-chase team last year that made the playoffs with that style of play. But after the Wild realized they were going to need to beat elite divisional rivals like the Blackhawks and Blues to get to the next level, the Minnesota brain trust decided to shift strategies. As outlined in this recent post by Elliotte Friedman, Minnesota has decided to focus on gaining the zone with the puck.
edit: I have to add, usually teams want you to dump it in. They base their entire neutral zone play on forcing you to dump it in. Why we voluntarily give it up is completely beyond me.