Playstation have been pushing their more story-oriented, big budgeted experience games (modern GoW, Last of Us) which don't seem to appeal to the Switch's main family demographic, either.
Honestly, Sony's Playstation had a shot at becoming the new family console with the PS4 and the whole Wii U situation, but even back then, almost all of their games were low energy, low stakes, high investment type of games, meanwhile comparing to Nintendo, their games are much more of a wide spectrum with something like Warioware being high energy, no stakes, low investment and stuff like Xenoblade being low energy, medium stakes, high investment. Sony really had no system sellers they made on their own up until Gran Turismo, basically everything that sold systems was made by third parties.
Gran Turismo as a series can be summed up as high energy, medium stakes, medium investment and lots of the other Sony made games were medium energy, low stakes, low investment. Skipping ahead 2 generations of gaming, Sony bought Naughty Dog a decade ago and now need a zombie game for the PS3. The result was the game that later on tarnished Naughty Dog's and Sony's reputation, The Last of Us. It very much is low energy, low stakes, high investment, which isn't the actual issue, the issue is that Sony was smelling Gran Turismo style money, and decided that now would be the time to make all their games like that. It did not work. To be fair, God of War 2016 was good, but they then dropped the ball with Ragnarok hard.
But I intentionally left out the PS2. For a very good reason even, it is because that was the time when Sony was more like Nintendo in terms of putting out all kinds of games which ranged wildly in terms of energy, stakes and investment. The PS4 only continued the road Sony was going down on, they didn't budge in the slightest, which ment that their one shot at dethroning Nintendo for good was gone and won't be coming back until at least the next console generation. (the PS5 has no games and is about as expensive as Switch 2, PS5 Pro is just a more powerful PS5 and the price of it is E3 2006 levels of stupid)
Just saying, Sony doesn't want to appeal to Playstation fans as well, possibly because they can't, Metal Gear Solid is a Konami IP, Ridge Racer is a Namco (now Bandai Namco) IP, same with Ace Combat, same with Grand Theft Auto, same with Need for Speed, same with Burnout, same with God Hand, same with Time Crisis, and I could make this list even longer. They legally can't make these games, which are unfortunately for Sony, the games people associate with Playstation during it's golden days. It's over and done for, the times of third party exclusives are never coming back like it used to be the case. The only attachmental IP Sony still keeps alive is Gran Turismo, which has floundered about since the PS4 and GT7 only made fans more upset at both Kazunori and Sony.
I'm just saying, Sony doesn't know their own audience, how are they going to appeal to Nintendo's audience lmao
Edit: mistook E3 2005 with E3 2006, had to correct in order for the comparison to actually work