AC and refrigeration compressors are subjected to a wide range of loads. The compressor pumps gas and does rely on the refrigerant for motor cooling. If they don't get cooled by suction gas they die a slow painful death.
Compressor reliability is VG. All compressors have a "safe operating envelope" If the compressor is forced to run outside of this envelope either by dirty air filters, dirty evaporators or condenser coil or low on charge or overcharged etc it will die prematurely.
The system usually (for AC) run with an evaporator temp of about 40 degrees and will discharge 55-60 degree air depending on the humidity load. More humidity load makes the unit work harder because you are condensing water but you get less sensible temp change. Les humidity load = more sensible change.
As far as protecting the compressor they have internal overloads but picture this.
If the compressor is running with low charge and low load (no compressor cooling) it will short cycle on low pressure control (if the unit has one) and the compressor will run hot and constantly trip overload. When this happens too often the windings burn. They are very difficult (I think impossible) to protect from overcurrent. The motor amps will constantly change depending on outdoor and indoor air temp and other factors. The OL in the compressor has to be high enough to keep it running during extreame weather so it cant protect in mild weather.
Running at 66 degrees as
@tortuga mentioned is wrong. This forces the compressor out of its design envelop and the evaporator will have to run at below 32 deg and will frost and Ice and possibly slug the compressor with liquid.
When I did AC service you would go on calls and the stats are buried to 70 or as low as they will go. Wrong.
If the unit is designed and sized properly it will remove humidity and the normal AC design indoor temp is 74-78 degrees.
For residential a rough guestimate is 600 sq feet/ton depending on insulation etc
For commercial office buildings with computers and printers that give off heat 250 sq feet/ton.
Maintenance is very important. If it short cycles find out why. Keep the coils and filters clean. Contactor condtion (the contacts) is very important. Short cycling kills contactors. Maintenance is the key these units can last a long time. We had jobs (commercial) where we changed contactors every year or two.