Typical styes that require attention are larger than pinpoint in size and are associated with definite tenderness.
It sounds like you may be seeing the meibomian glands along the edge of each eyelid or possibly small calcium deposits just underneath the surface of the eye. These are not styes and will not respond to hot compresses. Indeed, if they don't bother you in any other way but the appearance when you lift your eyelid and look in the mirror, then there may be no need to treat this issue. It is unlikely that these spots would affect your vision.
That being said, as usual, it would take a careful examination by an ophthalmologist to make a definite diagnosis and recommend the proper course of action (or inaction).
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