I feel like there was something else at play.

For reference, I moved to Austin in 2018, my rent for my apartment was about 1200/month. In 2022 (the year I left), my rent jumped suddenly to 1600/month despite new apartments near me, and all of the apartments I looked into had similar jumps. And anecdotally speaking my coworkers all reported similar massive rent spikes.

It feels more like this is associated with the tech industry cooling significantly in Austin so they can't get away with pricing bumps. This isn't to say new housing doesn't help, but it certainly didn't prevent me from getting fucked on rent.