Yes (*and no)
Because the cooling water typically enters from the forward (top) of the angled manifold and exits at the rear (bottom), the tube is used to raise the exit point so that the manifold is always full of coolant and any air bubbles are pushed out the tube at the high point. Theoretically, without the tube, if you draw any air through your raw water pump, the air would be trapped in the upper part of the manifold while the water is push out the bottom.
I wonder if you can retrieve and reuse the copper tube from your old manifold?
* Jeff accidently left his out and he reports no cooling problems yet.
Peter
1981 32' sedan bridge
twin Chrysler 360 cu. in. 250 hp engines
Raw water cooled
Nimbus II
Home port: New Buffalo, MI