I'm going to use an outrageous amount of toilet paper out of spite when the public toilet I'm using has 1 ply toilet paper
Why would you use up something everyone needs?
Because they are being cheap by supplying so cheap toilet paper.
It is understandable being upset about using toilet paper that will not cover your needs. But that won't affect them just the people who use the toilet after you and it is not fair to them.
I miswrote, my intentions are mostly that I need to use more of it because it is only 1 ply.
I am glad you mis-wrote your intentions, because using up a common resource is unkind to others and wasteful. It is good to be aware of what other people might need in the future and only use what you need.