What type of shoes should a commuter/road biker use?
I assume those shoes don't have cleats of any sort.

Do you currently ride without toe clips?  Adding toe clips might let you maintain a steadier foot position on the pedals.

But many regular commuters go in for cleated shoes of some sort, very often the "mountain bike"/touring style with SPD cleats/pedals because they're "walkable".

Whatever, you want a shoe with a relatively stiff sole.  Basically this means a biking shoe of some sort, perhaps the afore-mentioned "mountain bike"/touring style.