I've seen hordes of these over the years...........mostly British I'm sure, with the remainder, I'd always assumed, Continental - but not once did any of them even suggest to me it might have been this sort of blue. They appear opaque to the extent that it doesn't occur to hold them to the light, although I appreciate the comments about 'black' glass showing deep amethyst under transmitted light - some of which I'd have over the years.
But then I've only had 'black' looking plinths, I take it that Davidson Royal Blue must be quite scarce?
Just to confirm Greg's comments, I notice that the Bowey & Parsons 'Bagley' book speaks of a Davidson plinth which has "Made in England No. 3", moulded on the base - and they give a diameter of 3.75" across the base, although the colour shown is 'black'.