Doesn't really feel like a simply Yes/No question. What even is a "traditional game console" anymore. PlayStation has been a multimedia system since the PS2, Xbox since its original release, and Nintendo since the Wii.
Xbox has effectively gone third party and has turned their hardware into nothing more than a cheap, affordable way to get GamePass into your home.
PlayStation doesn't seem to have cemented approach, trying to be a major first party player on the one hand while embracing the PC market much harder with the other. And now they're even discussing multiplatform releases.
Nintendo gave up on "traditional consoles" after the WiiU flopped and went to what amounts to a portable only system that you can hook up to your TV should you desire. It reminds me a bit of hooking the PSP up to the TV back in the day, only it's a smoother. more natural experience. Some would argue that Nintendo gave up on the "Traditional console market" generations ago and went full on niche--often to their great success (Wii, DS, Switch) and occasionally to their detriment (WiiU).
I don't know what "winning the traditional console war" even looks like anymore, because the days of a platform holder folding like Sega, Atari, 3DO, etc. are long over. They just evolve into a different form than hardware.