Regarding TP.
A company called BOXED.com
It is a bit like Sam's Club in that they sell Sam's size packages (IE: 30 rolls of TP in one pack) the store brand is Prince and Spring.
That's what I"m using.. I have some others who use it as well. Good stuff.
How fast it breaks down I do not know but I will say this.. I've seen several "obsess" on this to the point of doing tests. Scotts single ply was among the fastest to break down, Quilted Charmin the slowest.
But by the time I take care of the paper work. (As you know no job is done till you finish the paper work) Flush. Pull up, and properly fasten. Get out side and pull the "T" handle. Even Charman will be broken up.