Star alignment and subsequent polar alignment will always be more accurate using your main camera and capture software with its polar alignment tool rather than an eye piece.
Your eyes have limitations and so does the eye piece , the camera is so much much more efficient in terms of sensitivity and resolution etc... and most capture software usually have a zoom in feature for tighter accuracy when centering stars
Atmospheric conditions can also affect the accuracy of your polar alignment to some degree as well.
Cheers
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