I don't use Q/R skewers; I use Pitlocks.

When working on the front of my bike, I "address" it head-on; and, because I'm right-handed, it's more convenient to have the Pitlock device on the non-drive side. OTOH, if it's something on the drive side, I locate myself next to the rear derailleur; in which case I have the Pitlock device on the drive side, because it doesn't interfere with any drive-train work (same orientation for the seat post binder -- on the drive side).