Alright having 3 invasions and 1 theory...hopefully I can add some help to your issue.
I use the invasion when I need an "pop" off the backend like you describe when im on heavy oil, just as long as its heavy oil. I see the theory being simply a stronger cell, which is a good thing, when I need a predictable motion controlling the midlane. I would assume your cell is about as beat up and wore out as mine. It may be time to replace that cell with a theory, I did and I love it.
either ball will do the trick....if you want a stronger motion but similar to your cell go with the theory....if a totally different ball motion is desired try the invasion...i shot 2289 in my city tourney last year on a heavier shot and pretty much dominated because of the ball being able to handle oil while at the same time snap on the backend.
I think the theory is the safer bet, I have had and heard nothing but good things so far, whereas the invasion has been really good for some and really bad for others, but it is a true tournament oil ball @ oob.
Hope I made some sense there....good luck.
my arsenal..
http://s890.photobucket.com/albums/ac110/_billdozer/My%20Arsenal/