There is a middle ground. Maybe one need not add third party privacy invading analytics but there are simple self hosted solutions that have been around for ages and probably covers most of what people are looking for such as AWStats [1]. Logs can be merged into a centralized tiny web server on ones private network and that node can be running AWStats. Demo [2]. Main site [3].

[1] - https://github.com/eldy/AWStats

[2] - https://www.nltechno.com/awstats/awstats.pl?config=destaille...

[3] - https://www.awstats.org/