Words that are derived from proper nouns sometimes have an initial capital letter (example, ‘Christianize’). Some words can have a lowercase initial letter (example, ‘balkanize’).
Oxford Manual of Style (2002), section 4.1.12 says that if “the association is remote, merely allusive, or a matter of convention”, then initial lowercase is acceptable. “Some words of this type can have both capitals and lower case in different contexts. This depends on whether the connection with the noun is close or loose or – in the case of a term derived from a personal name – whether the word is being used to evoke a specific person or that person’s general attributes.” It gives a list of examples such as “Byzantine (of architecture) but byzantine (complexity)”.
Different dictionaries give different capitalizations.
I think that the easiest solution is to add all the coherency pairs as lower case words, even if they usually have an initial capital letter. The spell checker can deal with words such as ‘Christianize’, which all dictionaries show with initial upper case letter. Is there a problem with my proposed solution?