Having owned a Raptor AND a 4Runner at the same time (sold the Raptor for an M3), I'll give my 2cents:
Looks: The Raptor crew cab is an absolute monster in terms of size, especially if you are not used to driving/parking any kind of pickup trucks. Raptor guys will tell you "park anywhere", but it takes some practice to know that you have to plan your parking strategy ahead of time before entering any lot.
You're dealing with a tremendous amount of width (over even the normal F150), much more length than you're used to, and for even those with lifts - the height of the Raptor is noticeably tall.
Performance: My data is skewed towards the 1st gen (mine was a 2014), but my Raptor drove like a beast. It was nice and cushy when you wanted it to be, while being just rough enough to remind you that you are in an F150. The faster you went over bumps, the more forgiving the suspension was. Though I was not one of those *******s who would take his neighborhood speedbump at 80mph, I did often think about it haha. The truck begged you to go fast, and the handling (likely due to the width and suspension) was 5x better than my 4th gen with Bilsteins, etc.
Storage: It's a truck with a crew cab. The rear seats fold upwards, revealing a huge bed of empty space in the backseat. i used to just throw my whole dog bed back there (it was big) and my pup had more than enough room to chill in or out of the bed. It was like a small apartment back there, and then you had the added space of the actual truck bed. Overall for a nice, long trip (and I took many it it), I was never wanting for storage space.
I freaking loved my Raptor, one of the only reasons I sold it was because it's not really conducive to living in narrow, sheltered, broken streets of CT and NYC. Parking structures are outdated and therefore all have low ceilings, narrow parking spots, and old people waiting to ding your doors. I could barely fit it in my home garage, and couldn't go below the 2nd level of my work garage. While most of this I could have lived with, the true torture was not being close enough to anywhere the truck could properly stretch its legs. In otherwords I never got to use it for what it was meant to be used for, and that is the truest of crimes in itself.
Will definitely own another Raptor one day, but I need to live out west.
If you want to compare it to a 4Runner, I have one big thing the 4Runner trumps the raptor in:
Convenience.
The 4Runner is a smaller-ish, tighter (no big fender flares or long bed in back) package that can literally go ANYWHERE, and do almost anything. It has more than ample STOCK storage space with the flat folding seats, and for those with roof racks the sky is the limit in terms of how much you want to load it up. It's really the swiss army knife of SUVs, and I think they are 2 vehicles that cannot really be compared.
Yes the 4Runner is slower. It is smaller. It requires extensive modifications for big tires. But it gives you a package you can use any day, anywhere, in any conditions. And unlike the Raptor, you don't have to plan out your parking spot before you even hit the lot!!
Some pics I posted in the other thread:
Linear Mode
