I do have a Cigar Savor and haven't had a problem with the plastic smell, but the acridness of relighting an already extinguished cigar caused me to stop using it.
I hear ya!! In my case, I usually relight my cigar within an hour or two of it going out so they usually taste fine BUT it you let them sit around for a day or a few days, you are correct, the cigar is usually kind of nasty

I was referring to the convenience store cigars. The ones that sit out for years on end in their little plastic tubes.
Oh okay, I haven't smoked a cigar like that in so long I really can't remember but you're probably right