Pain's almighty push (shinra tensei) would probably render tbb harmless. We have seen shinra tensei disrupt rasenshuriken without excessive chakra usage.
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The relevance of these panels to the shinra tensei vs. tbb debate is that, from what we know rasengan works fundamentally the same way tbb works:
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This shows us that the tailed beast bomb isn't inherently different from rasenshuriken- and therefore lacks unique qualities that would allow tbb to prevail against shinra tensei.
Perhaps the general chain of thought among the people posting here is that since tbb is highly destructive (equal to, or greater than the destructive force of shinra tensei) that must make tbb > shinra tensei. While their is merit to the idea of tbb being more destructive and harmful than shinra tensei, there's zero evidence suggesting tbb would actually overpower shinra tensei and be unhindered by it.
The conclusion is, were the tbb to come up against shinra tensei in a contest of power, shinra tensei would prevail against the tbb every time.