No, lowering your thermostat does not make your air conditioner cool faster. The cooling process of an air conditioner is not affected by the temperature setting on the thermostat. The thermostat is essentially a switch that tells the air conditioner when to turn on and off based on the desired temperature.
When you lower the thermostat setting, you are instructing the air conditioner to maintain a lower temperature in the room. The air conditioner will work to reach this new lower setpoint, but it does so at a relatively constant rate based on its cooling capacity.
The rate at which an air conditioner cools a room primarily depends on its cooling capacity, the efficiency of the unit, the indoor and outdoor temperatures, the size and insulation of the room, and other environmental factors. Lowering the thermostat merely changes the target temperature, not the speed at which the air conditioner cools the room.
In fact, setting the thermostat to a very low temperature won't make the air conditioner cool the room faster; it will only lead to the air conditioner running for a more extended period until it reaches the set temperature. This can result in unnecessary energy consumption and higher electricity bills.
If you want to cool your room more efficiently, it's essential to set the thermostat to a comfortable temperature, typically around 78°F (25.5°C) during the summer months, and make sure your home is properly insulated and sealed to retain the cool air. Using fans and keeping windows and blinds closed during the hottest parts of the day can also help distribute the cool air more effectively.