My remote linkage has a bolt in the side fitted with a bronze bush (assuming its bronze) with a spring behind it. Is this the bottom nylon bush referred to previously? It puts compression on the rod holding it firmly against the remote tube.

If so it's a mean little spring, hopefully the new springs are as stiff as the old ones

No The bottom Nylon bush referred to is the nylon bush at the bottom of the gear lever
and there is a spring that is fitted underneath that nylon bush

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