Here's my stance and it doesn't change:
I want the best experience possible. Sometimes that's better multiplayer, better controller, better performance, or even better resolution.
Certain franchises, I always buy on one console brand. Tomb Raider, Final Fantasy, Dead Space, and Metal Gear will always be "PlayStation franchises" to me. Call of Duty, Dead Rising, Saints Row, and a few others will always be Xbox franchises to me.
When it comes to power, I don't care.
For me, everything Wii and lower are one tier.
Wiiu, Xbox and PS3 were damn near identical most of the time. I couldn't tell if anything was 1080p, 720p, or whatever. Didn't care. They looked sharp on my 1080p Vizio so I was happy.
Vanilla Xbox One and Vanilla PS4 are also fairly close in my opinion. I've played the same games on both and noticed almost no differences (ie Tomb Raider Definitive Edition). I think the frame rates are different but if you put one on my TV and didn't tell me which, I wouldn't know.
I just got a 4k UHD TV yesterday (2016 49 inch Sony Bravia). I didn't notice the huge improvement over 1080p until today. I think it updated overnight or something. After toying with the settings, i played Gears of War 4 and RotTR on Xbox One and Until Dawn and Tomb Raider on PS4. Both console displays looked absolutely incredible and comparable in power.
Tl;dr (or maybe I just didn't make myself clear. I ramble a lot.): I want the best experience possible but I often don't notice or care aboutthe difference.
For years, I preferred WiiU to both Xbox One and PS4. I just like what I like.