The nerves that tell you your eyes are dry have been disrupted by surgery and you cannot rely on them indicating when more artificial tears are needed. A doctor's evaluation of tear quantity and quality is the best way to know when to quit or reduce application. When in doubt, lubricate. A moist eye is an environment that promotes healing.
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Lasik flap healing should answer your questions about the relative benefit of artificial tears even after a month.
I don't discuss my personal refractive surgery experience (monovision PRK) because it is rare that what I experienced is as relevant as a study of a balanced group. I tend to reference the studies.