Many thanks for your suggestion and support for TrainingPeaks Virtual.

You can however already pause rides and take a break to do whatever you want for however long you want while maintaining your position within a group. Note that while this break mode is active, then your time / distance other stats will be locked, so you won't gain any "free miles"!

Simply select the button from the action bar at the bottom middle of the screen (icon is shaped like a person walking, not cycling!) or if you've got a keyboard then press the hotkey "B" for (B)reak. When you're done and want to resume again, just press it again to get back cycling.