In college one of my friends had a little handheld 20 questions game, and we eventually had to make a rule that you could only answer with "sometimes" twice per game ..... My point? That the answer to nearly every question can be sometimes.
Red oak is tension strong. A clean back on a red oak bow will not fail before the belly frets (assuming you don't just yank it back suddenly without any tillering or anything). So in a sense you should expect red oak to overpower red oak.
So will sinew overpower the red oak? Who knows. The answer is probably sometimes.
Let's take a step back though ... What do we mean by overpower? If we mean that the belly will fail before the back, then yes probably the belly will fail first.
Will the belly fail on your bow? No idea. What draw weight and length are we talking about?
Personally I wouldn't sinew that bow. If you need a backing, which you may not depending on grain, consider something simpler.
Just my .02 ....