Sony had many live services not mentioned there like Gran Turismo, Dreams, PS Home, Destruction All Stars, Little Big Planet and more, and they continue to be live services games even if not listed there. In the same way that they also have many other single-player games that aren't listed there, but still continue to be single player games even they aren't there.
This slide only shows some examples to highlight that their portfolio back then was mostly focused on single player non GaaS titles and that they wanted to diversify it making a bigger push on the live services side during the following few years showing also an estimated roadmap of GaaS franchises, it isn't a complete list of all the SP and GaaS games they have.
To say that Sony doesn't consider GT7 a GaaS because it isn't in that list is as nonsensical as to say they don't consider Days Gone or Astro single player games because they aren't listed there.
""Second-party"""" is first-party, lol.
And? I never said the opposite. Second party games are games published by a platform holder but developed by a third party (not owned by them) studio.