I disagree with you there, I think fighting and racing games are the most suited for portability. Quick matches, easy to pick up and let go at any time is perfect for that. However, I think I'd get the PS4 version as well, since I'm a home console type of guy and the PS4 version definitely runs better.
Can I ask how you know that the PS4 version definitely runs better? Have you already played both versions?
You can. I haven't played any version and the PS4 has more horsepower, therefore it runs better, in the sense that it'll be better looking and more detailed.