If all the freon is out...Compressor should not run. But, if you used your DEfroster, the A/C was called on to run. As long as there was some freon in there, it would cycle. It cuyles when the freon is low because the suction side of the compressor pressure drops below the cutoff. The pressure normally is about 30-40 PSI on the suction side when running. Not sure when the low pressure cutout works, but usually around 20 PSI. This is because the evaporator coil would be at 20 degree F. or so and would freeze the moisture collecting on it. Once you drop below 20 PSI when not running, the compressor shouldn't come on.
If you leave the A/C system "open" to atmosphere, moisture is absorbed into it. There is a Filter/Drier on it that has dessicant (moisture absorber) in it to keep the system dry. You should of repaired the hose even if you did not intend to use it. I would recommend replacing the filter/drier after repairing/replacing the hose. In addition, hte repair shop should put a dehydrating vacuum on the system to remove moisture in the system.
