I've looked through this sub for an answer to this, but idk that I've had my question answered

I know SSE has frame rate issues on the Pro, especially if you don't have a 4k TV. But does SSE run better when it actually is played on a 4K TV?

A lot of the people asking about the performance issues for the Pro said they were playing on a 1080p HDTV, but maybe the SSE frame rate isn't so bad once you have a 4k TV?

I ask cos I want a Pro so that I can eventually play TES: Online, since the latter actually plays so much better on Pro. But I also want to play Skyrim but don't want to deal with the issues.

TL;DR: Does SSE run more smoothly like it's supposed to when it's hooked to a 4k? And is SSE still relatively playable and enjoyable on a Pro?

Thanks in advance guys.