Strange antique Royal Dalton ginger jar?

Have ascertained this hexagonal jar is Royal Doulton circa 1902-1922 on account of the crown being present under the lion mark, and probably Art Nouveau given the plant emphasis. (It has a repair made on the blue rim - separate photo shown.)

But I have further questions.:

Does the fact I cannot find its picture anywhere online suggest it's rare?

Does the cross on base signify any particular artist or does it mean something else?

Does the hexagonal shape have a special name in Royal Doulton ware, as in Burslem?

Is this a ginger jar or would it just be described as a lidded jar, being English?

Two of the sides are quite faded and colour may even have changed over time. Do you think it was originally orange or red?

The lid reminds me of a mosque. Is another influence acknowledged in its design?

Size: 9¾" by 3¾" (25cm by 10cm) and I am seeking a price, please

Thank you very much for your time.