Hello Nellysdad,
Sometimes there is residual magnetism in a part if a magnetic chuck is used to hold the part during grinding (I would not recommend using the term "machining" as it implies that magnets can be worked through conventional machine tools).
I believe this is the source of the residual magnetism you are seeing. If the magnetic material is ceramic then it is pretty easy to demagnetize the part (if necessary). If the part is Neo, it is considerably more difficult, as you noted.
A magnetic chuck would leave a pattern of alternating North-South poles, but only on the face of the magnet that was in contact with the chuck. This pattern would be sufficient to hold a paperclip, maybe even hold the magnet to a steel filing cabinet.
These levels of residual magnetism do not normally cause a problem. As long as your magnetizing equipment is providing a sufficiently strong magnetizing field, it would completely overwrite & erase the residual pattern.
I would not recommend calling out a quantity of acceptable gauss on your drawing, it is requirement that may add unnecessary labor & cost to the part. A proper magnetizing pulse will eliminate the residual pattern.
I would recommend checking your magnetization process. If you are using capacitive discharge magnetizers, be sure to check the capacitors to make sure they are holding enough charge prior to magnetizing. They usually only last a couple of years before needing replacement. I've seen magnetizers lose over 20% of their performance before the capacitors were replaced. If some of the capacitors look swollen, they need replacement immediately.