I've personally learned a good bit from watching those kinds of videos.
That said, I'm already used to articulating my tastes, and I have established tastes and some experience with making games. My own views on game design are further refined, not initially defined, by these analysis videos.
My personal suggestion would be to not let critiques inform your tastes or opinions.
I may very well find that I'm in contention with what reviewers say about games when I actually get my hands on them, but the expressed values in aspects of gameplay – aspects which one person happens to see in a game, that I just so happen happen to not -- are still values in aspects I agree with according to my tastes, and I can still apply these lessons and articulation I've learned or refined to my game design.
As someone without a lit of money who doesn't play too many video games regularly anymore, I depend on hearsay and gameplay footage to vicariously experience recent releases, or most games in general, new or old. But I have games and hard tastes when it come to game feel, and I write and philosophize about video games, movies, and broader aspects of life regularly, which all share underlying principles that can, and should, be applied to game design.
I wouldn't say start there, but it depends on how you learn and what you're gleaning from watching those videos. If nothing else, well written videos can help articulate game design in the panning stages, making a final vision of the product clear.
Also. Because of the nature of platforms like YouTube, the internet has seen an influx of content created by people who don't know what they're talking about – in more ways than one. I'm picky about people actually having a more-or-less complete grasp of the English language. Super Bunny Hop said "cacophony" as 'Kah-kuh-'foe-knee in his video about every first level in every Sonic game, and I couldn't tell if it was a joke, and I've taken his opinions and odd cadence with grains of salt ever since. He's said other words wrong for sure though and I'm sick of seeing it when it's preventable, specifically with preemptive reading and listening to educated people on talk shows and documentaries.
(Like I say and write stuff wrong too there may bee some typeos in this post but com eon man look up every word above 5th grade level in a dictionary to be safe, as you are writing your script not after, and double check it. You're producing content that hundreds of thousands of people are gonna watch and you go out you're way to be pro in editing so be pro in what I came here for you're speech aaaaaand I'm rambling oops)
Editing this post was a nail biting bitch I sent like half an hour on this