Sounds like a very interesting concept for play with lots of random character interaction.
Player Characters 1, 2, 3 are sitting in a bar discussing their latest mystery when player 4 shows up at the DM's house thus allowing Player Character 4 to walk into the bar and meet up with the others. At this time, player 2 needs to go pick up his laundry from the Jiffy Cleaners so Player Character 2 excuses himself to go handle stuff in another part of the world. Thus leaving 1, 3, 4 to continue on with the adventure.
Sounds cool. If this is the way I'm translating it.