To the OP - tomorrow will be a great example of the folder advantage.
Advantage 1 - I'll get up in the morning and if its raining I'll catch the bus just down the street (with the folded bike inside the bus) and get dropped off 2-3 minutes (by folder) from work.
Advantage 2 - After work, I'm meeting up with some friends and I'll simply fold the bike up into the corner of the pub.
Advantage 3 - If I feel like riding home I will, but if not, I'll fold it up and throw it in the back of my friends truck for a ride home.
This would not work with the Vaya.