I believe users will consent to different levels of behavior analytics depending on some variables:
- where is my data stored?
- if it is stored inside stackexchange infrastructure, there is higher trust
- if it is stored in a big tech like Google, there comes a concern on what they will do with it
- what is collected?
- page views, clicks and read duration: anyone can understand that will help enhance the websites
- user identification: that may start creating doubt
Have you considered using a self-hosted service? Tuned to collect what you really need? I think that would positively change the users' perspective on web analytics.
See also: Study of analytics alternatives by @wizzwizz4