Were Roman Generals Better Than Carthaginian Generals During the Punic Wars?

Carthage had one good general in the First Punic War, plus one good mercenary general.
The good Carthaginian General was Hamilcar Barca, the father of Hannibal Barca. He fought in Sicily and never lost a battle. After the defeat of Carthage in 241 B.C at the naval Battle of the Aegates Islands, Carthage sued for peace and signed the Treaty of Lutatius which was favorable to Rome. Hamilcar Barca was very much against the treaty and wanted to carry on the war. After the war was over, Carthage was depleted of funds and could not meet the demands of the mercenaries who had fought for Carthage in the war. The mercenaries besieged the city and carried on a brutal war against Carthage for three years. It was Hamilcar Barca who finally defeated them.
The mercenary general that Carthage employed during the First Punic War, was Xanthippus of Sparta who defeated the Roman general Marcus Atilius Regulus at the Battle of Tunis in 255 B.C. He appears to have been an outstanding general, but hearing of intrigues against him he left the service of Carthage.
I don’t know of any outstanding Roman generals during the First Punic War.
During the Second Punic War the only outstanding Carthaginian general was Hannibal Barca. He was a genius at battlefield tactics but not so much at overall strategy. He knew how to win a battle and defeated the Romans repeatedly, but he did not know how to win a war. The other Carthaginian generals, Hasdrubal Barca, Mago Barca, Hasdrubal Son of Gisco, and several others named Hanno were not outstanding in any way.
Among the Romans the most outstanding general was Publius Cornelius Scipio Africanus. He never lost a battle and his strategy at the Battle of Ilipa was brilliant. Honorary mentions go to Quintus Fabius Maximus Cunctator, Publius Cornelius Scipio the elder, Gneius Corenelius Scipio Calvus, Claudius Marcellus, Tiberius Gracchus, Marcus Claudius Nero and Tiberius Livius Salinator, but none of them were remotely as able in battlefield tactics, strategy and logistics as Scipio Africanus.
During the Third Punic War the Carthaginians produced no outstanding generals but were able to hold out for three years despite being very outnumbered and having severe material disadvantages due to the incompetence of the Roman Consuls who were sent to Africa during the first two years of the conflict. In the third year the Romans elected Publius Cornelius Scipio Aemilianus, the son of Lucius Aemilius Paullus and adoptive grandson of Scipio Africanus to Consul. Aemilianus was a competent general and his siege of Carthage was successful. He destroyed Carthage and sold the 50,000 surviving citizens into slavery. He certainly had a talent for sieges, but whether he had a talent for the battlefield is unknown because he never led a pitched battle.