Sorry this is the CO thread not CO2
Generally the CO2 level is the most common reason for a fill station to fail a test. CO is reason number two and still in the 21st century 3% of scuba fill stations are failing for CO levels greater than 10 ppm.
In 1997 I think the CGA Gr. E standard for CO2 was changed from 500 to 1000 ppm as too many stations were failing. Generally though the CO2 is about 330 ppm in ambient air so it doesn't take much CO conversion to CO2 by hopcalite or 'silent combustion' to put a station over the 500 ppm mark. Still at this level assuming no other tank contaminants in a healthy diver I wouldn't anticipate any major health problems for the recreational diver heading to 5 ATA. Remember though the deeper you go the higher the effective contaminant concentration so what may be marginally safe on surface can become toxic at depth especially in an already susceptible diver (skip breathing or working hard). According to Dr. Edmonds in Diving and Subaquatic Medicine at about the 5% CO2 level distress may begin with shortness of breath. Working backwards assuming 5% at 5 ATA this would be 1% on surface which is about 10,000 ppm CO2. This is 10X the allowable amount and don't think those levels are too common in ambient air so you'd have to have some serious compressor problems or else have your intake in a cow barn to see those levels. So to answer your question I'd say no, tanks don't need to be field tested for CO2 if the fill station is getting quarterly accredited lab air analyses and passing.
CO is the one contaminant though whose concentration can quickly change in that three month interval (i.e. hopcalite too humid from inadequate filter changes) and if it does and you don't know bad things will happen down under. Testing tanks in the field for this tasteless odorless gas would seem prudent especially if quarterly testing is not being done.