On Linux most distros do not actually ship chrome but chromium which is the open source version of chrome.

It also comes down to how different groups define FOSS. GNU considers even helper programs (like a package manager or firmware installer) to be "bad" for the user because they "encourage" its use so they dont want them included in GNU approved distros like trisqul or guix . this leads to those "freedom respecting" distros not having things like basic WiFi drivers or support for any 3rd party drivers.

To a less extreme degree but similar is a distro like debian, where there is a "non_free" repository available but users can choose not to enable it.

And so GNU sees having the playstore as a bad thing because its gateway to installing other non free software. Its also safe to assume most gnu evangelists probably don't care much for chromium either.