If you degrease both the holes and the screws, there's really no need for Loctite at all
If you use it on the ring screws and your scope goes bad, you'll have a tough time getting it apart, whereas the bases rarely need to be removed
If you are recommending having the thread surfaces clean, dry and absent of any lubrication, you may throw off a proper torque reading or feel of torque on the screw, because you will be feeling and reading friction between the dry threads. Most recommend having some form of lubrication on the threads to read and feel proper torque on the screws. Leupold has claimed to conduct extensive testing over the decades and reports neither advantage nor disadvatage to using thread locker vs oil, provided it is the low strength blue type. But, they do find disadvantage to running scope ring and mount screws completely dry.