magnet wire is copper wire.... the bad term magnet wire comes from the used of enamel plated copper wire being used to make electromagnets and other inductors etc like transformers ( the enamel plating is the insulation)
the wire you have used is tin plated copper wire that is plastic insulated
The advantage of enamel plated wire is that it isn't so bulky ( doesn't take up as much room) so you can have more turns of wire on a coil if it is needed
Assuming you have the correct number of turns on your ferrite core, for that low number of turns, it wont make any real difference what type of insulation.
If you needed more turns on the same sized core, then moving to the use of enamel plated wire would allow for more turns
Dave