My parents always lived in homes with septic and my first home was a home with septic. Used correctly, septic systems are great. Overall though, imho, it depends on the person overseeing the property and making sure septic is being taken care of. Also, in my experience, it has always been the number of bedrooms vs. the size of the tank. I would imagine it would be a bit more difficult to control the number of people in each apt therefore causing an overload to the system. 4 bathrooms, 4 kitchens is a lot of water draining through the system without adding a washer and dryer to it.
I did have an issue with the home I purchased with the septic tank. After living there a few years, our leach field failed. In both NC and VA it is standard that you must have at least 1 acre to have a septic tank, more if you have a well since they have to be a certain distance away from each other. I don't know all the rules, but my guess by the size of the lot you have shown is not big enough both septic and well. If there is well water being used, no way would I rent it. Not having a washer/dryer hookup, although it is definitely more convenient to have one, is less important than making sure that you don't have well and sewer on such a small plot. However, since there is more field there even though it is not the owners property probably helps a bit with the leach field.
Also, i did want to add, our washer/dryers have only been hooked up to septic never to a run off pipe. I find that interesting, because it probably helps quite a bit. In the house we owned, we got notice our leach field failed when none of the water coming from the house was being absorbed and drained causing 'sinck hole' near the tank. And the smell of sewage. And nothing draining correctly.
I don't know if I woould run away from this apartment honestly unless having a washer and dryer is a deal breaker. If there should be any problems, short of the health department forcing you out because the septic system has failed, the owner is responsible for fixing.
Good Luck!
Kelly