(1) Criticizing vulnerabilities in particular JWT libraries, as in this article.
(2) Generally criticizing the practice of using any "stateless" client tokens. Because there's no great way to revoke them early while remaining stateless, etc.
The problem is that both of these groups only criticize, neither of them can ever seem to actually recommend any alternatives.
I could care less about JWT per se. I'm happy to implement a similar pattern with something else (e.g. store a secure cookie post-auth, skip all the refresh business and just let it expire when it expires, and employ an ugly revocation strategy only if absolutely necessary). I don't need JWT for this.
If I'm providing a REST API, then I'd prefer a token string that I could pass as a header value rather than forcing the use of cookies. Although I suppose you could argue that a cookie is just another header value.
Either way, if you're serving up a REST API to a JavaScript UI... what's NOT a good option is server-side session state (e.g. Java servlet sessions). That requires you to either: configure your load balancer for sticky-sessions, or employ a solution to share session state across all your server-side instances (which never works very reliably). Moreover, relying on a session isn't a very RESTful auth strategy in the first place.
So if I'm writing a SPA in 2017, then I'm definitely taking a client-side approach and running afoul of the #2 critics. And since JWT is so widely implemented (e.g. if I use a "Login with Google" option then I'm using JWT), I'm probably running afoul of the #1 critics too.
These criticism are fine, I guess. There's no faster route to blog clicks, book sales, speaker invites, and consulting dollars than: (1) telling everyone to jump on this year's hype train, or (2) telling everyone that last year's hype train sucks. What the world really needs is a bit more actual prescriptive recommendations of what to do instead.