Thanks for the report.
Considering this as Feature request, marking as Untriaged and requesting Dev team to look into this.

This is basically remote control of another device. Doing this via Chrome Sync would require significant complexity, and I think you would be better served by Chrome Remote Desktop.

In addition, if you prefer, you also have the ability to remove a device from the history page altogether (click the three dots link next to the device and choose "hide for now".

I understand it could be technically challenging and Google sync is not
designed to address above. However I disagree with statement "This is
basically remote control of another device."  Chrome Remote Desktop is
remote control of another device. I am merely asking to remove a tab from
the list of tabs that displays in G sync.  If chrome sync is sandboxed I
don't see how it could be a problem.

Remove a device is not the same as being able to close a tab. If we are
offering users to be able to access their remote tabs to consume them
remotely, we should be able to let them close those tabs once they are done
too.

For reference look at Safari. It provides exact same functionality. It
allows user to view/close tabs on remote Safari browsers.

"Consuming your remote tabs" doesn't alter the state of those tabs on the remote devices. In other words, if you open a tab from another device, it essentially "copies" that tab onto your current device. Navigating somewhere else in that tab won't navigate to that page on the remote device.

Closing the tab remotely is a different situation. The action you're taking on your local device actually affects the state of the remote device. That is why it is quite different than what we support via Sync.

I think by "consuming" #6 was talking more about the user experience. You leave a tab open because you're not done with it. Maybe you want to read what's on that page. But after you've read it, and "consumed" it, you don't need/want to keep it open anymore.

It seems like allowing one device to alter other devices is how most sync data types work. Sessions is kind of the oddball out.

Thank you. I didn't want to keep on and on about it :) You are exactly
right, when I am done with a tab I would like to close it, as an user it
should not affect me where that tab is. If being able to access remote tabs
is a feature, being able to close them when I am done with them is a big
part of it.