So you aren't hitting some validation server on every HTTP request to validate a token. Said validation server adds a very nasty point of failure & potential for page latency.
Going mostly stateless via JWT lets you balance the desire for fast token revocation times and load on your auth server. Even if your revocation time is a minute, meaning your clients need to refresh their token once every sixty seconds, that can still substantially lighten the load on your auth server. High security stuff can always validate the token on every request but stuff that doesn't matter as much can have a much more policy.