barbarians will generally use reckless, even with the downside. Unless you're surrounded by many enenmies, it's still a huge benefit. Generally speaking it's better to assume it's being used the majority if the time.
Unlimited frenzy on rage is still incredibly powerful even at level 10. Less so in a game that allows PAM, but more so in a game that allows GWM. But you're right, I was knee jerking to it at level being used in mid tier one and low tier 2, where it's far more powerful, relatively speaking. If I was going to increase it, if go with an extra 'free' use (for two total) with the option to take exhaustion after that. It still gives the player the option to push the limits if they need to.
Regardless, IMO the subclass should get at least one free use of Frenzy per day.
btw, just for comparison, barbarians get a defensive bonus at level 11 (relentless rage), as opposed to fighters offensive one.
And yes, reckless makes a huge difference. It's what gives barbarians significant damage boost.