Total revisionism, even aside from the fact it took Sony two generations to catch up in online gaming. Xbox Live launched in 2002.
PlayStation is in the position they are today because of the competition that Xbox has provided. Aside from the quality of Xbox Live at a time when Sony and Nintendo were generations behind in their online offerings, Xbox introduced gamertags, XBLA, downloadable DLC, Achievements / Trophies, x86 processor as standard, developer friendly hardware and software, a build in hard drive and even the DS4 was heavily influenced by the 360 controller. Many of the benefits that PS fans now enjoy were made standard or at least introduced first by Xbox. That is a matter of historical record.
Not to mention, how many Sony exclusives had launches which were actual events in the way the launches of Halo 2 and 3 were? Would COD have become what it did without the earlier success of Halo?