Installing sight glass downstream of the liquid line filter-drier:
Pro: one can see the condition of the refrigerant as it enters the expansion device. If the expansion device is starving, checking for the presence of flash gas ahead of it is normally one of the first things to consider.
Con: if the sight glass shows flash gas, one does not know if it is the result of a low refrigerant charge, or a restricted filter-drier.
Installing tight glass upstream of the liquid line filter-drier:
Pro: if flash gas is present in the sight glass, it will not be the result of a restricted filter-drier. One can have a high confidence level that the system has a low refrigerant charge.
Con: one cannot see the condition of the refrigerant as it enters the expansion device. If the evaporator is starving, and the sight glass is clear, one can only speculate the filter-drier is restricted. One can sometimes detect a restricted filter-drier by measuring a temperature drop across it. But this technique is often not reliable. Significant pressure drop can occur across a liquid line filter-drier at low delta T.
Of course, the Prof has a solution the above debate: install two sight glasses.... one upstream and one downstream of the filter-drier....
Assuming one didn't want to go thru the trouble and expense of installing two sight glasses, the Prof opts for placing it downstream of the filter-drier. If a system is not properly cooling, it is important for the technician to determine if the expansion device is operating properly. And that can be more easily accomplished by knowing the condition of the refrigerant entering it.