I would assume that the answer to the above should be that it gives you the streak, but I suppose clarification to know for sure would be good.
I have a follow up question though to which I'm sure sadly the answer is probably going to be no. Let's say I deactivate my bravery streak and run VoN1 on Elite. Then I get to Epic VoN1, reactivate my streak and run on elite. Would this get me the bravery bonus for epic?