I don't want to diminish the good things Cloudflare has done for privacy on the web, and I welcome alternatives to Google Analytics, but Cloudflare's mission is to get the entire web behind them and give them complete control over all their TLS certificates, traffic, and now analytics. They may be okay right now, but there is absolutely nothing stopping the next CEO, or some future board or big investor group from changing that privacy focus and abusing it.
If you give this large a chunk of web traffic to a company, then let them also decrypt everyone's TLS traffic, I can't see that ending well.
Transparency disclaimer: I briefly worked for them and was very uncomfortable with the work they were doing the whole time.