Ohh, I remember AWStats from 2009 times or so. It's nice, but it doesn't solve what FullAnalytics does. I use Cloudflare Web Analytics [0] as an alternative to AWStats these days (it doesn't require inserting JS too).
If you're concerned about injecting third-party scripts into your website, you can use FullAnalytic's Zero Trust solution [1] to minimize risks.
You get a full picture of traffic without relying on inserting JS into the page