Yeah, I don't think it's type related. But that's mostly because it depends on how you're defining 'bravery'. Different people will exhibit their own personal versions of bravery.
For example, being a daredevil and doing risky things has a certain element of bravery, if you're calling it 'brave' to put your life at risk... but let's be honest...the same act can also have large components of stupidity and a lack of concern, or dismissal, of physical safety (although I recognize the same types would also be more in tune with the situation and probably wouldn't be as much at risk as, say, an INFJ doing the same thing ;-). Or if you're defining bravery as potentially more self-sacrificial - i.e. firefighting or something - then sure, that personality would be considered most brave.
Or is bravery more of a strength of character, and resolve to face your own fears and struggles head on? Or throw yourself way out of your comfort zone? That wouldn't be as noticeable to outsiders, but I often think it takes a lot more strength and willpower to face an emotional or personal battle than to do something like go skydiving. Skydiving would only require a momentary boost of 'braveness' and adrenaline and 'what-the-hell-ness' - whereas getting out of your comfort zone in a more day-to-day general way would require much more longevity, strength, and determination.