Hello and thanks for your question. The only reason to wear this mild prescription for reading magazines or books is if it makes your reading easier and/or clearer. It would not hurt your eyes to use the glasses for these types of activities, nor would it make your eyes more habituated to the glasses.
However, there can be several other reasons for the eyes to feel strained from reading and by far the most common amongst them is dry eye. When we read our eyes naturally blink less and are therefore open longer, making them more susceptible to dryness and if the eyes already have some baseline level of dryness, this worsens it.
What would be a reasonable thing to try if you are so inclined is to use some artificial tears 3-4x/day in both eyes for 3-4 weeks to see if this helps the straining. If it does, then you likely have some component of dry eye causing your strain.
Does this information help address your concerns? Does this make sense? Do you have any other concerns that I haven't addressed?
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My opinion is solely informative and does not constitute a formal medical opinion or recommendation. For a formal medical opinion and/or recommendation you must see an eye doctor.