I would like to point out that these are my observations and have not been verified by proper genetic research.
I believe that the White Crest color in Polish(as in White Crested Black Polish and the White Crested Red Polish) is independant of e allele(can be had in many e allele backgrounds for example Extended Black, Birchen, eb brown), and is not a new mutation of the Cr incompletely dominant crest mutation.
I believe that what gives the White Color to the crest is an allelic mutation of the Mottling m allele, it's recessive in nature(recessive to Mo+) and I propose the gene symbol m^wc caused by an Endothelin Receptor B2 (EDNRB2) mutation, recently a Japanese team of research was able to identify and new mottling m allle mutation that is responsible for the white color of the Minohiki Japanase breed, they have assigned to that new mutation a gene symbol mo^w(for recessive mottling White Pattern), when they cross mo^w/mo^w parent with recessive mottling mo/mo parent the result shows a Mottling like pattern(looks very much like exchequer pattern)
Here is a recap of the research done by my friend Sigrid(she did the recap but the research was done by a Japanese team)
http://www.chickencolours.com/New mottled allele.pdf and the research team work:
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0086361
So the Mottling m allele seem to be prone to allelic mutations(just like dominant white i+,I, I^D, I^S), so far only two have been properly documented but I believe there are at least 5 mutations(Mo+, mo, mo^w, mo^wc, mo^e, the last is for the exchequer pattern that used to be called pied but research has atleast confirm that it is the same or allelic to mottling), I believe that genetic mapping of these patterns(White Crest and Exchequer) need to be done to properly identify these mutations.
WC Polish chicks display a mottled like chick down( White Head and white feather tips like Tolbunt Polish before they moult to adult feathers)
View attachment 1903439
I believe that the cross of Mottled Polish with WC Polish will produce intermediate pattern(very small amount of mottling on the F1) and due to the allelic nature of mo^wc one can't have a full mottled polish with a full White Crest.
The feathersite has this hen posted as white Crested Mottled, but I believe that this he is actually mo/mo^wc F1 cross