Parrot is certainly no less safe than any other Linux distro because of Google. The link that you posted, also mentions Cannonical, Privateinternetaccess and others. Do some extensive research on these companies, their telemetry, data retention, logging, and privacy policies. Even if google is not to be trusted for any reason, it is to late, It has been contributing to Linux for to long, and has worked its way to deep into the system. Use wireshark, make sure are getting everything out of it you can. Check out Firefox. Go through their about:config and see how many unique identifiers their are, and how many urls data is being sent to. Shut off your internet connection, run bleachbit on firefox, open firefox (internet still off) close it and run bleachbit on it again. And it is yet to be seen what will become of Github/Microsoft. Even with whatever you find about all these things, You are way safer than with Windows.