That's a bit bizarre to comment when the primary company that developed Chrome is known for keeping tabs on users' browsing history.

It's probably requesting "tabs" permissions. The Chrome security permissions aren't fine grained enough so often you need to request permission for a lot more than you actually need. For some reason requesting "tabs" shows a scary warning about having access to all your history. You'll find that a ton of extensions need access to your history for this reason, it's actually really annoying as an extension developer.

That's the priveledge that Chrome extensions require in order to inspect URLs as you load them, so they can conditionally apply themselves to the appropriate site(s). As far as I know, there isn't a more granular priveledge to allow access only to URLs as they're loaded (which an extension could still use to track your browsing habits by storing them in its localStorage).