One always turns to the terms of service, where Youtube (or some other provider) sets out the rules. Stackexchange requires a certain kind of permission to copy to be granted to others, so that I can quote user content from here as long as I abide by CC BY-SA 4.0 license. Youtube has a slightly different sub-licensing condition:
You also grant each other user of the Service a worldwide,
non-exclusive, royalty-free license to access your Content through the
Service, and to use that Content, including to reproduce, distribute,
prepare derivative works, display, and perform it, only as enabled by
a feature of the Service (such as video playback or embeds). For
clarity, this license does not grant any rights or permissions for a
user to make use of your Content independent of the Service.
That means that you cannot legally copy comments using ordinary cut-and-paste, but you can make comments available via embedding (unlikely to be how you intended to redistribute comments).
You might have available a "fair use" defense when you get sued, in fact if you don't actually quote text (or quasi-quote, where you copy but change a few words), there is no issue. You could say for example "7 users were upset with this, and 12 were pleased", since that isn't copying their content. Fair use does not start out on your side, you have to prove that your use is "fair" under US law (which is where you would be sued). You basically need to hire a lawyer that specializes in finding that line, though a basic guideline is that you getting money or them losing money from your copying is not in your favor, and large-scale copying does not work in your favor.