I rode a Citizen Tokyo for years in my (4-6 mi. one way) commute in NYC.
The weight of the Tokyo never bothered me for carrying it up & down subway stations & platforms.
Personally, I find the handling of 16" compact folding bike is too much of a compromise for the small size.
Any significant up grade or down grade in terrain would make the bike rather unstable when compared to 20" wheels.
If you mostly ride on flat or terrain with minimal vertical change (no need for large range gearing), and need a compact package for lack of storage when bike is not ridden, 16" folder would work for low speed.
But if you're riding more, like I was, I prefer 20" wheels for roads that have potholes.
I still have the Tokyo, kept it for my wife to ride once in a while.