I actually disagree here.
500W, if it is the maximum you use, and if you install only a 500W inverter, sure, 12V would be the way to go.
But.
A 12V 500W load on copper properly sized would be say #6 and there will be a conductor loss ALWAYS , and the inverter will have its losses as well. At 12V those losses will be minor to be sure, but they will be larger than on a 48V setup.
Keep in mind a 500W inverter at 12V will likely be a low dollar inverter, so you will likely have a 100W or 2000W inverter. Low cost inverters have high standby losses that always draw watts on top of the load, as well as whenever the load is not present.
500W sounds insignificant until you realize that at 12V it is over 40Amps of drop. Higher amps equals higher voltage drop and increased wattage lost. The drop can be offset with larger copper conductors, meticulous cleaning and torque etc, but that takes skill, time and money.
A 2000W 12V inverter should have a 4/0 cable feeding it. 500W max would be #6 for comfort, #4 for lower loss...
In 48v land high end inverters can have much lower standby/constant losses and be larger to handle additional loads when needed, and the voltage drop and wattage waste will be lower.