If that's not controversial, that's at least ironic.
(Just to clarify: this particular behavior was observed on a version from a Play Store, not FDroid. And this was about 1.5 months ago or so. But I doubt things had fundamentally changed since then.)
And if you feel statistics of time to FIRST_PAINT invades your privacy you can disable telemetry reporting.
You can also see what your browser collects in about:telemetry, but don't equate performance measurements with surveillance -- that's FUD.
It's about a certain promise^W marketing statement and behavior that at least partially contradicts it.
Now, people are rightfully suspicious of any software that phones home at all.
Since you've used the term "anonymised" quite pointedly, I'm guessing the latter. I do find it surprising that anyone would assume data Google is collecting on your usage is somehow anonymous.
EDIT: grammar
Apparently this is also true of applications & services you pay for these days too. Includes ISPs, cell companies, cable apps where you input your customer code, paid subscriptions to online news... the list is endless.