Another user of the original wrist strap here. I've put a spring loaded toggle on mine so that I can tighten it around my wrist. It doesn't affect pocketability in the slightest, and like @j.scooter, shaking hands with someone becomes a dance of holding the camera in your left hand while shaking with your right!
In cold months, I sometimes wear a jacket with sleeves large enough for the GR to slip inside. With the strap firmly around my wrist, and the camera in my sleeve, the GR is ready to pop out for a photo at any time. With the right jacket, it's easy and keeps the camera out of the way, but always ready.