It has been tried from time to time over the years. When CFCs like R-502 faced phaseouts in the mid-1980s, HCFC-22 was the first choice for commercial refrigeration. But the high discharge temperature of 22 raised concerns. Those concerns were initially offset by such technology as demand cooling and compound cooling of compressors.
At the same time, refrigerant manufacturers introduced new HFC refrigerants such as 404A and 507, so that 22 would not need to be used.