According southern life, wrapping cheese in plastic can seal in moisture (leading to mold in the cheese) and the plastic can also create unwanted flavors, which the cheese is likely to absorb. Funky cheese is good when it sports the funk cheese came with, but creating new funk is a no-no.
In place, Illustrated Cook recommends using parchment or waxed paper (or even paper made specifically for wrapping cheese, according to Southern Living), followed by a second layer of lightly wrapped foil. The magazine explains that this double wrapping achieves two things: the paper absorbs excess moisture, while the aluminum foil prevents enough moisture from escaping completely so that the cheese is not at risk of dry out. On the other hand, using only plastic wrap will trap too much moisture with the cheese and speed up the molding process.
Energetically, Kitchen also cautions against using plastic wrap when storing cheese, noting that its use smothers the cheese. Who wants to be the accused perpetrator of this crime? However, the site notes that once the cheese is wrapped in suitable paper, storing the cheese in plastic wrap or a bag is acceptable. This, in fact, is similar in method to Cook’s Illustrated foil recommendation, as the plastic in this configuration helps keep enough moisture with the cheese to prevent dried cheese.
Ultimately, if you want to avoid cheese crimes, be sure to steer clear of plastic as your primary cheese storage tool – use paper instead.