I think it's also important to remember that the Romans never took over Caledonia, nor did they even have full control over what is today modern-day Cornwall. Britannia itself was very far away from the imperial centre, and was often a drain on the military resources of the Empire. The main reason Britannia itself was invaded was because the emperor Claudius needed a military victory to solidify his power back home and he chose britain because it loomed large in the Roman imagination as the place Julius Caesar invaded but never conquered. The main reason Julius Caesar himself invaded was because British tribes were subverting his recent conquests in Gaul.
After Claudius, emperors still had to impress their subjects with military victories, but after this they were often looking to the East (Vespasian, Trajan, Hadrian) and North (Trajan, Aurelius). To add Hibernia to the empire might have been a nice goal (and it is a good topic for speculation!) but I do not think they could have done it. Even fi they had wanted to do it, I do not think it would have been possible either.
Although, I am interested to know what cultural influence the Roman Empire had on Hibernia, even without an invasion. Was it similar to pre-Claudian Britannia where the southern tribes traded with the Romans and learned Latin?