Well, allow me to retort.
The unique element of the Roman polity which allowed it to achieve Mediterranean domination was its reaction to fear stimuli (as argued by a number of historians, including Holland, Roberts and others). Whereas other ancient States reacted in a placatory manner - hence the expectation that Cannae should result in victory - Rome reacted much more offensively, seeking ways to placate the Gods while defeating the mortal opponents.
Ally to this the fear created by Hannibal, which led to his use as a bogeyman and Romes OTL reaction to his post Carthage life - essentially to attempt to procure his death; and the fear of Carthage as a rival (Carthago delandra est!). Given this assessment, a partially victorious Rome, defeated in battle at the last step in my estimation, more likely than not to send another army to put the bogeyman to bed and gain total victory. There was a pragmatic vengefulness to much of Roman policy which points to this rival, which has humbled Rome on many occasions, being crushed.
If not, expect a third Punic war sooner than later - the imperative is stronger TTL than IOTL.
Now, you can argue the assessment - but it's an assesent based upon both primary (such as they are) and secondary sources, not some "hur hur hur Romanz are the bestest" arse pull.