I suspect this is being downvoted because the Punic Wars took place hundreds of years before Rome became "The Roman Empire", both in the sense of having a literal emperor and also in the sense of being associated with the huge swathes of the Mediterranean that we tend to think of when we think of the empire's boundaries. It's just a different period of history. Not only did Rome not control any bits of Africa at this point, it didn't even control Sicily, which is what the First Punic War was about: https://en.wikipedia.org/wiki/First_Punic_War

Who knows what Europe would have looked like under a Carthaginian empire, but I’m rather confident it would be quite different. Especially given how a lot of Europes history post-Roman Empire revolved around attempts to reestablish and re-bust-up the Roman Empire.