Where you touch it when not in use doesn't matter. You're not going to use it that way, because nothing uses the touchscreen for gameplay.
[edit] originally I said it didn't have a touchscreen, but I've been reminded that the original does actually have one and it's just never used by anything because ever requiring it in a game would be really dumb when the entire premise of the switch is that it's dockable.
[edit] originally I said it didn't have a touchscreen, but I've been reminded that the original does actually have one and it's just never used by anything because ever requiring it in a game would be really dumb when the entire premise of the switch is that it's dockable.