I don't like it. I really don't, and you probably already know why.
When you really think about it, most people who have interests that seem to be "cringeworthy" to others are not hurting anyone when they say or express how much they like this particular thing. It just comes from the fact that the people who call it cringe actually like it in a way and are too afraid to actually come out and say it.
However, the only reason I could possibly find why I heavily dislike this type of culture is mostly because people - especially children - are forced to limit their personal expression and creativity for fear of being included in a cringe compilation. Cringe culture is not only harmful to the person being bullied, but also the viewers of the "cringe" content.
I myself am a believer in free speech and expression, among other things related to the 1st amendment rights, I understand that exists. But using it as an excuse to bully others is kinda not cool in the slightest.
Everyone has not just right but a privilege to do what they please as long as they're not harming anyone. Now, attacking people over harmless fun is the real cringe.