No, not if the circumstances described in your post actually happened: a phone call from a casino sports book to an NFL exec demanding a scoring play be overturned, and the NFL exec capitulating and making it so is leaked to the public. Bribes only work in an evidence-controlled environment of plausible deniability. The moment control over the evidence is lost and deniability becomes implausible, the jig is up.
In your hypothetical, the NFL would be exposed to the public as (to some extent) fake, and that alone would seriously damage the legitimacy of the brand as a "sport" in the minds of it's audience, but even that pales in comparison to legal implications they'd face over match-fixing. Again, we're pre-supposing that the incontrovertible evidence is made public. The outrage would be uncontainable, and the feds would absolutely have no choice other than to step in and take scalps. It would destroy the NFL.