Not really. I boarded in group 5 (early) and there were multiple empty bins. My bag is also carry on approved size. American is the only airline I’ve run into this issue with (once a couple of years ago and stopped me from wanting to fly with AA) - now I remember why.
When @AmericanAir forces you to check your approved sized carry on and this is the bin above your seat before takeoff - which is why I’m a loyal @JetBlue and @Delta customer over this stupidity. American blows.