It’s best to focus your efforts into rotating these IDs.
Anyone serious about privacy is using Firefox or Tor Browser, with various settings to harden it against tracking.
If the privacy reasons are driving you, see if you can find fixes to these issues without getting rid of systemd.
I’ve seen that it uses a different init system and doesn’t rely on either dbus or systemd
Other BSDs don’t have that, but have equivalent PCI tree identifiers. “hostid”, too, is found on many systems but is much less unique as it’s often a function of local network address.
And you should be running the browser inside firejail at all times.