why have analytics at all? don't track your users in any capacity. the only justification is to optimize something. don't optimize. simple, and free.
So, yeah, they can keep this "analytics".
A simple example of “why have analytics” is if you are selling physical goods through website, you need to keep track of sales so you can plan your next resupply of inventory. If you don’t know which t-shirt is selling the most, you won’t order enough of that one.
Now you might say “that’s not analytics” but you would be wrong. Analytics and tracking are different things; that’s why we have different words for them. And the use of analytics predates tracking by decades.