It depends on how oily your lids are, IMO.
My lids are rather oily, so if I use Paint Pots alone, they do not last all day on me.
UD PP lasts all day on me alone, so if I had to pick one, that's what I'd go with.
My favorite thing to do though is to use both. I like to apply a thin layer of UD PP, then apply a Paint Pot on top of that. Then I get the best of both worlds.