Jon, this regulation is specifically about the Japanese Beetle quarantine and in this context "approved" means a product approved for use to control Japanese Beetles (in any plants, not just figs) and also approved by the regulatory agencies (APHIS, CDFA, etc.) enforcing the quarantine regulation.
Now, on the other issues you've brought up: I've had a private applicator's license for 19 years. The exams have gotten a little tougher in the past couple of years but it's not too bad. Anyways, a pesticide label does not need to specifically list figs to be legal (approved) for figs. Some pesticides are approved for use on rather broad categories such as "fruit trees", "nuts", etc. while some get very specific as to what fruits they are approved to be used on and then the harvest restrictions can be different for different fruits, etc. Fortunately, alfalfa is the only crop I currently grown that I need to spray for insects but I do spray alfalfa, pomegranates, chestnuts, and now, figs, for weed control. I removed my Bartlett pear orchard in 1998 largely because of the amount of spraying needed for insects and diseases and the toxicity of many of the pesticides used (i.e., Guthion). I have read at least a few dozen labels over the past 19 years. If I'm in doubt, I usually speak to my licensed pest control advisor but sometimes to my staff at my Ag Commissioner's office.