hi Sid..... you do surprise me. Although I'm not suggesting the catalgue is incorrect (in fact I don't have any G. D. catalogues) - it's just that pickles are an item that I collect in a general way - I've something like twenty different patterns/designs - and I've yet to find one that has a loose fitting lid such as this. All those that I've seen have the typical ground-glass type of fitted lid.
My reason for suggesting this might be a tea caddy was prompted by seeing a very similar square section loose lidded container of similar size, on page 56 (item 5) in Jenny Thompson's book, 'The Identification of English Pressed Glass 1842 - 1908'. Thompson's caption for this item (on page 52) says .. "G. Davidson & Co. 14 July 1903. Tea Caddy".
Had a feeling that I did in fact have an example of this 1903 design - but the draws in the wooden chest in one of the garden sheds has jammed tight due the exceptionally damp English winter, and I now can't open the b...... thing to check if it's there.
I can't off-hand find a book example of a pickle showing anything other than the typical ground-glass stopper. However, I've just noticed that Raymond Notley - "Popular Glass of the 19th and 20th Centuries", page 14, shows what he describes as a 'Manchester made cobalt blue pickle vase c. 1890', of which he says........ "this has a rim suitable for a lid of some description, such as waxed paper with a string closure. Other similar designs exist, all made by John Derbyshire, and most have Patent Office Design Registration marks etc. etc."
Perhaps this Davidson loose lidded type are also meant to incorporate some form of wax paper or other similar seal, under the lid - otherwise the pong of pickles would permeate strongly, and presumably the liquid would evaporate

As a matter of interest, does any GMB member have a pickle that is not of the ground-glass stopper design?