Here's is my favorite bit of information that comes to mind whenever this question arises.
Cellophane was invented in 1908 by Jacques E. Brandenberger, a Swiss textiles engineer. It is a thin, transparent sheet made of processed cellulose.
Cellulose is a polysaccharide. It forms the primary structural component of green plants.
Mostly cellulose fibers from wood, cotton or hemp are used for making "cellophane".
However, the use of the word "cellophane" has been genericized, and is often used informally to refer to a wide variety of plastic film products, even though not made of cellulose.
For me it is a very good thing that most of the cigars that I buy are protected by an essentially plant based wrapping as opposed to some polymer or monomer that could potentially be broken down by the oils of the cigar causing some molecular migration of said plastics into my cigars.
I suspect that the use of the word "cellophane" when it comes to cigars is in the strict sense of the word (plant based in origin) and hopefully not being used in the generic vernacular...On it stays, but I do carefully remove it for photos, then carefully place them back on before I bed them down.
—Richard
PS Your referencing the cellophane as "plastic" will tend to through some gorillas off the scent of this very popular subject here in the jungle.
For more fun and information use the new search feature called "Tag" search and enter the word cello.