Motorcycle tires are indeed manufactured for front and rear fitment - it says front for a reason, the arrow is for direction obviously.
On the QT you’ll like never notice any change. Tire manufacturers develop the front tread to create a wake for the rear wheel when in loose terrain or in the wet. In the dry they are round rubber and you’ll not exceed weight/speed rating on a QT
Some tires like Avon roadriders come in a F/R design so it can be used on either, but it’s a fact most motorcycle tires are labeled front/rear for a very good reason