I had a look at the surface and it is no pretty sight...
This simple shape is "overloaded with data", in numbers:
it is a degree 3x3 which is OK but then it has 32x60 patches which is way beyond what is reasonable for this shape. ( it is also visible when looking at the file size on disk.)
Depending on what NX licenses you have access to there are different info features and cleaning procedures that can be used.
To check the overload : Information - Object, select the face ( not the feature / body)
To see the patch boundaries Information - b surface, Show patch boundaries
( and output to listing window)
Refresh and re-run but turn on "Show poles" instead of show patch boundaries.
The problem that becomes visible when using the enlarge feature does already exist in that mass of data, imagine that you have a very small ripple in the shape and that you extend the shape in the natural directions, then that ripple will grow the farther away you go.
The proper way to proceed would in the ideal world be that you ask the supplier for a clean surface, which this is not.
In case you want to continue with this surface you need either clean the surface or build a new which is "similar but better". In this case one can create, say 4, isoparametric curves of the sheet, clean these curves( reduce the number of segments, target 1 or 2 segments) then create a thru curves sheet.
If you have the license for it, the surface can be cleaned with the Edit - surface - refit face, but you ( and your customer) need then to accept that the final shape will not be 100% identical. The question is how much deviation you can accept.
Regards,
Tomas