Sometimes a few ounces of Marvel Mystery oil will help the situation. Worked in mine for over 15,000 miles and still shifts smoothly.
My gearshift works perfectly without Marvel
Snake Mystery Oil. Would it work even more perfectlier with it?
More seriously, when I was running my bike bike in, I had a choice of neutrals to choose from! These days, there is only one, and it is usually in the right place.
Back in the day, as an impoverished teenager, we used to stick molyslip (molybdenum Disulphide) into 'ailing' (i.e. completely shagged) engines and gearboxes. At the recommended ratio (1 tin moly per oil change) weird stuff happened with engine oil pressure and cold starting. At low ratios (1/8 tin per oil change), things were ok, but no better than with a decent quality oil.
The only additive of any description I have ever had +ve results with was on my daughter's old Vauxhall Astra 1.4 Fuel injected hatchback. She inherited it with 95,000 miles on the odometer from an elderly relative who had finally stopped driving. The wee car was 17 years old, but had been well maintained. It did however feel sluggish. On a mechanic pal's suggestion I stuck a bottle of Redex fuel injector cleaner in the petrol tank. Over the next few hundred miles, the engine gradually became more sprightly, before finally performing as it should.