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Have you tried an "update view"?
Production: NX10.0.3.5 MP16/TC11.2
I'd rather be e-steamed than e-diseaseled
A quick way to check to see if it is just a visualization issue is to use "measure distance" to measure between the point and the curve. If it reports a distance of 0 (or something very close to it), then it is just a visualization anomaly. In this case, try using "regenerate view"; this will recalculate the geometry and redraw the objects (updat display does not recalculate). Recalculation may be necessary if/when the zoom factor changes greatly.
Other things to check would be the curve tolerance in the visualization preferences and possibly the sketch solver tolerance.