To me this is the apex of the game.  Taking on rides that are far more capable than mine and finding a way to win. 
It is just a conspiracy of mind!  

Yes uber rides have more options.  Great feedback in this thread though on dealing with them.  If you have to engage and don't have E or alt try to force the uber ride pilot to make a mistake.  If nothing else to give you time and extension.
Heck if nothing else when he is on your 6 cut the throttle, slam the rudder over, turn hard (basically speed breaking) and let him fly past.  Take a shot if you get one.  Don't expect to get a 2nd chance on that technique though.  
Still on your 6? Dump the flaps and fly in between the trees.  These things I do but I avoid stick stirring (just my thing = too gamey for me).  If you are still alive 
TAKE IT TO HIM! Uber ride dudes don't expect this sometimes.  This is a mistake on their part.  
If he is using his superior climb and acceleration at this point to position for a last killing pass...use it against him.  You may have just enough E to turn your nose on his (or part of his fuselage).   Dont bump your nose until the last split second.  He may think you do not posses the E. What a surprise it is when he discovers you do!  

EDIT:
Greebo is a master at this BTW.  Like no other.  When you think you have him (or so out match his position) he finds a way to even the odds and even kill you.  He is amazing at this.  I have learned so much by being killed by Greebo.