Even if native speakers who know what 'require' mean, if they meet this noun and adjective first 'requirement' and 'requisite', don't know what they mean exactly? and have to search the words in a dictionary?
Also in this case the verb 'apply' it is related to a few noun-forming words, such as application , appliance, and applicant, native speakers have to browse the words to know what they mean definitely?
Anyway, in my opinion, English speakers might have learned noun forms of verbs one by one at times they have heard a word, talking with people.