As a high school photo teacher I have to tread the line on this constantly. The short answer is Yes... a good critique is fundamental for growing. It's loaded with perils though.
At the end of every major assignment we assemble the whole class and go through them. Digital class so they're projected to over five feet. I try to direct the best I can.
First Quarter of the semester class is "puppy dogs and ice cream, rainbows and unicorns": Positive feedback only for each other. Student gets their critique then comments on the next two presenters. Takes a long time. I will give more "critical" feedback. Mostly Technical: focus, depth choice, appropriate Shutter Speed. Some composition info: Move closer, eliminate distracting elements. We do a "still wet" look mid assignment with hopes that students will go out and make the changes. (digital is so fast and they still won't always go out and fix the problem) I do not allow photo editing till after the first 45 of the 90 days, good capture is the focus.
After that initial break we move to a couple of different forms. Students will look at the work of another student and make a full commentary on paper, including what I call " the Plus One " which could make the picture better. One of the better ones is "Dead Artist" review. Student doesn't speak about their own work and the reviewers go first, students have to write down major points of the reviewers comments. This allows them to see though the other person's eyes rather than their own. The student can give comment at the end or can just say, "Thanks". I do not allow comments like, "this doesn't work for me", "I don't get it", and other vague nonsense. Usually it's only said to put someone down and elevate the person saying it.
A colleague says comments need to be "k.i.s.h": kind, intelligent, specific, helpful. Honestly for the kids - they learn a bunch by commenting about someone else's work - about their own work.
Good Critiques are (as touchy, feely as it sounds) in a trustworthy room. The 45 days of positive help foster that, the latter 45 are focused on, "this could make it even better" type of responses. In a work full of throw away "likes" - which mean no more on the 'gram or FB than "I saw it". Really talking about someone's work is another thing altogether. I try to point out that my best friend takes the time to tell me good things - but also will tell me when I'm blowing it. A doctor that only focuses on the good lab results would be a terrible doctor - you need to know the points of improvement. It's not always good, but I would feel remiss if they'd never been in an art critique and then went to college and were devastated. (my experience)
I didn't have as much good direction as a young photographer. I get even less as an adult. The only feedback of "did this sell" isn't good enough to me. Pop music sells - and it's crap for the most part. So as a man approaching 50 with alarming speed - I'm taking classes at the local Community College. Having a deadline, making prints in a darkroom, knowing there's a critique to get ready for has been nothing short of a blessing to my work. The critiques aren't as good there as I'd hoped for, but meeting with the professor - whose work I admire - has made me think about my work much more than before.
I'm constantly trying to make every critique better and more useful for the students.