This article can't explain what it's trying to hit at!
JWTs are stateless.
JWTs reduce the distributed system complexity of having every microservice talk to an auth system in the flow of every request. But with that, there are tradeoffs.
You cryptographically sign JWTs, then you don't have to check them against a session/authc/authz system. JWTs come with an expiry, and your systems statelessly trust them until they expire.
A problem is that a user can't revoke a JWT by logging out or changing their password (unless you build extra infra to store the invalidations and fail closed), so if someone steals the JWT, they can continue to redeem it until expiry.
This is what the article is trying to warn against.