If nothing else, this experience showed me that people can be pretty generous if you give them the chance, which changed my outlook on life for the better.
I may try offering a plan with this model for a limited time on my hosting business, to see how things go, as an experiment. It may be a little difficult since dedicated servers are not cheap, but depending on how much each people pay, it may offset the costs and turn into a profit. Tom Morkes[2] has a book on this model that might be worth the read as well[3].
Personally, I go with no analytics whatsoever for my business, for personal reasons, but we do offer a GoatCounter to customers to entice them to move away from Google Analytics. I will definitely keep an eye on Counter.dev as an alternative to that, good luck!