It really depends on how much those resolutions will drain on those systems, but also how well Bethesda optimizes each version for each console. Take a look at Star Wars: Battlefront - an absolutely beautiful game, is locked at 60FPS for both consoles, but it's at 900p on PS4 and 720p on XB1. Now that game also has a lot of action going on all at once, Skyrim has a lot more concentrated moments but a very complex world.
Consider that Fallout 4 is a 30FPS on the consoles right now, but it is really steady (on the PS4, it takes a lot to drop the framerate at all). Skyrim is 5 years older than Fallout 4, so I would suspect that is possible to get 60fps, but probably only at 720p. Honestly, I wouldn't mind a lower framerate if it raised the resolution.
I guess it will be 1080p and 30 fps. The same as Fallout 4. I don't thing the PS4 could handle 60 fps with all those graphical enhancements.
Also Battlefront uses a different engine as the Creation Engine.
Frostbite 3 is a more advanced engine!
There are a lot people who got used to 60+ FPS (me included).
Everything below that looks choppy and creates a headache. I even stopped playing Witcher 3 completely because it ran at 55 on my system, instead of having a stable 60.
It's simply a matter of preference and what you're used too.
Consoles are actually better at 'hiding' the 30 FPS than most PC-monitors.
A 60hz monitor that runs a game at 30 FPS will look gruesome, while a 30-FPS game on a console with all that motion blur actually feels somewhat fine.
Skyrim SE will be running at vsynced 240 fps and it's going to be a tablet exclusive
Jokes aside, I would expect Skyrim to be framelocked at 30, as far as consoles go. But if they manage to pull a 60 out of the old girl, why not?