Omega 1012 friction spring

I am working on an Omega 1012.
The friction spring for the seconds pinion did not look great so I bought a replacement from Gleave.
After installing the train, not the barrel or keyless yet, the action of the train, it’s stiff, very stiff, I literally have to force the centre wheel for the train to move.
It runs well without the friction spring.
I will have to bend the spring which I would not expect to do with a new spring.
I have seen a post explaining the ‘rule of thumb’ the third wheel should turn 1.5 times after lifting the friction spring.
I will do that when I have the barrel and keyless in as I don’t think there is a way of telling when only the train is installed?

The seconds pinion, according to the Omega technical guide from 1972, the seconds pinion is not lubricated. Is that right?
And they specify lubrication between the friction spring and the collar on the pinion which is generally not lubricated. Is this also right?

Thank you for letting me know.
The instructions just didn’t seem right. It goes against everything not to lubricate the seconds pinion.
First time I’m working on this movement. I will lubricate it.
At this moment, the seconds pinion makes ‘rattling’ sound when testing the train.
That’s at high speed when pushing the barrel.
The pinion is new because someone supported the pinion or pressed it against the automatic bridge when fitting the hour and minute hand, compressed it and the small bushing moved out of position.
So the rattling sound it makes, it shouldn’t be the seconds pinion because it’s new.
Perhaps the sound is normal. If not, I’m guessing the centre tube could be worn out and the dimeter of the hole is too large.