PpPete, I greased the left crank of a Raleigh that I was using regularly. The crank had been removed and refitted a couple of times previously (both times dry) and the 3rd time I decided to try greasing.
The crank moved further along the taper - in fact the nut (this was an old style BB spindle) reached the end of the spindle taper ! This meant I had to fit a washer underneath to allow further tightening. Admittedly, this crank had seen a fair bit of service - but the change in position was markedly different to when the crank had been fitted dry.
I'm going back to the mid '90s when I did this - and at that time I had no idea of the 'to grease or not to grease' debate. My motivation to grease was to prevent corrosion (I had converted this road bike into a hybrid off-roader, and it got regularly caked in mud etc).
I decided to never grease tapers again - in fact I felt a bit stupid for doing so. Of course, aluminium cranks do settle a little further down the taper each time they are refitted - but this was more than just 'a little'. Maybe I was just unlucky and after all, these parts were far from high quality, but I decided to do things 'conventionally' thereafter. I subsequently found that Shimano and Campagnolo both recommend dry tapers
I do apply a little grease to the back of the cranks after they have been fitted to prevent water entering the taper.