I am sure that loaded firearm ammunition would be allowed in an apartment in reasonable quantities. Otherwise, police officers could not rent apartments.
When I rented an apartment in a large complex, I did reload. I used a "Workmate" folding table as a bench. Also, I only bought my powder in one pound containers and never had more than a pound in the apartment. I would reload a bunch, shoot a bunch, then buy some more components and load a bunch more. In hindsight, it may have violated the terms of the lease but I didn't think to look just then....I just did it on a small scale and as safely as I could.
Hope this helps, Mikey
When Guns Are Outlawed, I Will Be Another One Of The Quarter Million Violators Who Are Not Prosecuted