Standard. I haven't touched Skyrim Special Edition as SKSE and other 'framework' mods haven't made their way there yet. As much as I'd love the optimization the remastered version offers, that's not worth losing what I can't bring over from regular Skyrim; at least to me.
That being said, I do believe 'True Storms - Thunder and Rain Redone' has already been ported over, and some mods that did require the script extender have found workarounds. Special Edition is definitely 'superior' for those who already have the mods they want there, but I am not one of them.