I doubt it.
The warmer air as it cools will increase the relative humidity.
Based on that, you might still be oversized. 73 degrees at 103 outside means cycling as soon as it cools down to just hot (as opposed to equator hot. This leaves for high humidity forcing you to run the thermostat down for comfort.
Originally you posted it will not keep 70 on a 90+ day. Now it holds close at 103. Your OP stated that it doesnt run as much as the other one...
Lets see your load calculation.