Will coated magnetic copper wire work as an aerial to receive radio waves?
There is ‘copperweld’ wire which is an iron core for more strength coated with copper for lower resistance than the iron. This is preferred for antennas for its strength. Purer copper wire will break more often, HOWEVER, I had a really pure (Oxygen free), bare copper wire up for about 5-6 years before it broke, and one with thick plastic insulation for 8-10 years, so it is hard to predict.
What you call magnet wire is just wire. Just because lacquered wire is frequently used to make wound components does not mean there is summat intrinsically magnetic about the wire. It is just wire, whose insulation is in the form of varnish.
So your question becomes will insulated wire work as an antenna.
The creation of radio waves is not inhibited by a tiny layer of insulation. If you think about it, the air is an insulator; the vacuum of space is an insulator. 0.01 mm of polymer is trivial compared to the whole air path from transmitter to receiver