If I wear reading glasses will become dependent on them?
Using reading glasses reduces the strain on your eyes. This will make your eyes feel more relaxed at the end of the day and may reduce strain-related headaches. Alleviation of these symptoms will make you feel better and give you incentive to wear your reading glasses.
So if you become dependent upon your readers it is not because they have made your eyes worse but because they have alleviated unpleasant symptoms of eyestrain.