Hi Chaplin,
This is sometimes a good way to test tension when in doubt and also works for a temporary fix. You can lay a piece hair vertically along the center arbor and press (not too hard) the cannon pinion over it. The elasticity of the hair should supply enough tension. I’m not recommending this as a permanent fix but as something to experiment with. That being said it is not all that uncommon to find watches that have been repaired this way long ago that still work well.
Hope this helps,
Bob