Similarly: I have a friend who recently told me they were trying to get away from using disposable paper towels and instead use cloths. Again, this episode immediately came to mind. I couldn't help but wonder if the amount of energy, detergent, etc used in washing the reusable towels was _worse_ than simply using paper towels.
I don't know that there is any true way to definitively answer either of these questions. There's just SO MUCH involved, that you can go down a million rabbit holes (the manufacture of the washer uses X, the design required a team that required an office that was built inefficiently, etc). This is currently a premise on The Good Place: no matter how hard you try to be the best possible person, you can't control the entire pipeline of ramifications.