That is more words than I want. Here is what I want. Suppose you were to set up an appendix in your own Latin book, and suppose one table was titled "Perfect Indicative Active". Now what would that be in Latin? Actually, I don't need the Latin. I can figure it out if I could figure out what the parts of speech are for "Perfect", "Indicative", and "Active" and what if anything they are modifying. I suggested in this table in this appendix that they would be three adjectives modifying an implied noun "Tense", but I'm not sure. Another possibility, as you are suggesting, is that they would all be adjectives but modifying different implied nouns; but as those different implied nouns have different genders, the adjectives would all have different genders despite standing side by side. Just imagine I am writing a Latin grammar book in Latin.
Gnarly and pedantic, but I actually need to know!