3rd party publishers historically supported mainly the devices with the biggest market share in 3rd party sales. Before the first PS it was Nintendo, so they supported Nintendo. As PS1 started to skyrocket and both PS1 and PS2 dominated the market for 3rd parties, they sticked to PS. Then PS3 had a more tied result compared to 360 so the support was more split between them, also because the development costs skyrocketed and they needed more revenue sources, so many big previously exclusive 3rd party IPs moved to multi.
PS4 dominated again so they supported them again. PS5 even if supply constrained broke many records and has a record demand so apparently will dominate again and will be again the best selling platform for the 3rd parties. So 3rd parties will continue supporting it because they'll consider it's their biggest and more reliable market. So if or when they have to choose a platform that they specially support, its the one that gives them more money.
When it isn't the case, money from someone like MS, Google or Nintendo (and Sony, obviously) helps to moneyhat some exclusive from this publisher or even to buy it.
Jimbo expanded the manpower of all internal 1st party teams and acquired Insomniac, Bungie, Bluepoint, Housemarque and more. Broke all records on revenue, profit, consoles sold, 1st party games sold, awards won, subscribers, console engagement or demand. Is opening the market of their IPs to movies, tv shows, PC and mobile and is highly improving their game subs and VR.
It's hard to ask more to Jimbo, even if part of the good and bad things they did came from the previous eras (where Jimbo already was there and was promoted to CEO because his great results). And well, you could also say that part of who was there before him also did it party because of the legacy of the ones who came before him.
The biggest PS market has been historically Europe, and Jimbo was there since the early days pushing the ship. And he did it when until then for Sega and Nintendo Europe was a small market way smaller than USA and Japan. Jimbo didn't start now as CEO.
Jimbo had a key role building that Ferrari that he later got as CEO.