No, they caught up. They were ahead almost the whole generation and finished a negligible amount of sales behind at the very, very end. That would be "caught up." They went from 115M sales behind to what, less than a milly?
PS4 was a recovery for Sony because of Mattrick and Microsoft pushing the always-online, discs-tied-to-consoles, Kinect, Xbox-TV shyt that no one wanted. Sony immediately jumped on that shyt and admittedly killed it with their response:
They might as well have called the generation after that shyt.
Remember E3 the year before these consoles released?
You keep with the revisionist history, but I was there. Until Mattrick revealed Xbox's strategy for the One, consumers were split between the two.