Yes, the battle-tested argument becomes moot when enough time passes and there's enough adoption. This doesn't make the original argument invalid, though -- just unheeded! ;) It seems we software devs are doomed to reinvent the wheel, again, and again, and again.

As for session cookies: like the author says, cookies are a storage medium and orthogonal to the issue. You can have all the problems of JWTs in addition to all the problems of cookies.