I can't say for sure, but I think that it should.
That's because in the Business edition, there is a left join on the product_category table to check on the access levels of categories so that you don't display products for categories which have a restricted access for the current user group.
And the code later on which calculate the category_pathway bases itself on that data, which is not present on other versions of HikaShop.
Please install that search plugin. I changed the code so that this left join is done even when there is no need to check for access levels so that it also bases the category_pathway calculations on the categories data.
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