Novus weapon upgrade system findings

[Nekodar]

I'm guessing you can only get maps And alexandrite if you have an animus weapon? I I don't even have my Atma weapon. I don't want to be left behind like. Would be cool if I can stock up on it.

Since map (both quested and myth bought) can only be gotten after you do a certain quest that requires you have animus, that's not an option for you.
Alexandrites from FATEs are also not an option by the patch notes that say they can only drop if you have an animus equipped.

The only thing left for you is to collect materia.