[dsansome@dsansome-macpro2 ~] /Library/PrivilegedHelperTools/ChromeRemoteDesktopHost.bundle/Contents/MacOS/remoting_me2me_host --version
VERSION

The version is actually 65.0.3325.39.

Looks like this is because the VERSION macro isn't defined here:
https://cs.chromium.org/chromium/src/remoting/host/host_main.cc?l=166&rcl=8e604d185f1e57482b98d60a8d54511e959344f3

But it works in remoting_me2me_host.cc - so maybe host_main.cc is missing a define in the BUILD.gn?