It's a Precision neck (4 bolt, truss tod nut at the heel, etc.) that is 1.5" wide at the nut. None of that really determines how "smooth" it plays. Nut width has no real bearing on the neck contour, quality of fret work, or how it's set up.
As I find narrow necks that are deep front-to-back much less comfy than a wide neck that is shallow front-to-back, I would say, "No, it won't be smoother". You may find it more comfortable however.
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