I've tried the saran wrap a few times in the past with so-so results. I imagine it takes a bit of experience to judge the necessary drying time before wrapping to avoid rot. I had a few tubers the year before that I really didn't care for so I used them as "guinea pigs" to experiment with the saran method. The results were actually pretty good with around 75%, in the spring, looking exactly the the way they did before wrapping the previous fall.
This past fall I didn't want to put all my eggs into one basket so I divided many of my favorite varieties into thirds. I stored one group in Zip-Locs with cedar chips and copper dust. Another group went into the Zip-Locs with vermiculite and sulphur. The last ones were saran wrapped, along with a few others I wasn't crazy about. I also stored 12-15 clumps in plastic grocery bags, unwashed with the dirt, rocks, worms (?), etc. I had pretty good success with this method last year after hearing about it from Arlene. Hopefully, at least one method will work.