For me it appears to be order thats on the Web Sit...
# suitecommerce
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For me it appears to be order thats on the Web Site Setup > Search Index > Facet Fields. And these are ordered by the internal id of the field and I can 't change this order. Maybe it just need some time like you said @wes_w. I would be a little suspicious of that just because the Product Type and Subtype where already there and then I added the height and width and they appeared above the Type/Subtype.