I knew it wouldn't be long before I'd have a use for the table I cut out Consumer Reports, May 2012, "Ratings: Toilet Paper" on p. 47. Their Excellent ratings for Disintegration were #1 Walmart's White Cloud 3-Ply Ultra Soft & Thick followed by #3 Walmart's Great Value Ultra Strong, #4 Walmart's White Cloud Soft & Thick, and #5 CVS Premium Ultra. All of those are three- and two-ply. For one-ply, the best for Excellent Disintegration are #12 Angel Soft and #13 Scott Extra Soft. The Scott Rapid Dissolving rates #14 overall and even though the Disintegration may be excellent, Softness is good, Strength is good, and Tearing Ease is very good - but it costs more than most of the others.
The #2 Quilted Northern Ultra Plush is three-ply and rates "only" very good for Disintegration. The #20 Quilted Northern Soft & Strong is two-ply and only rates Fair in Disintegration. They only tested those two Quilted Northerns. A while back I decided to try a pretty good dissolving two-ply (don't recall which one) and Jerry asked me not to use it after one roll because he thought it might be starting to cause a problem so I've reverted to one-ply.