It is possible to have good results from never changing the res. It is more likely, without experience, that the yield will suffer.
Changing the res helps ensure the proper balance of the nutrient concentration. If the plants eat too much of one nutrient, it can cause others to get locked out. It is also possible for salts to build up inside the res and release later, again causing an imbalance in the concentration. Regular res changes and occasional flushes help prevent buildup and even washes away some of the old dead material. Also, plants will deposit stuff into the water from their roots; unwanted substances and even sugars to feed microbes. Changing the water also gives the roots a chance to sit in an air bath, witch usually results in a growth spurt the next day.
I don't like changing the res every 7 days because my nutes are expensive, but if I go past 10 days my plants start looking sad, but that could just be in my head. In the SeeMoreBuds video, the guy using the aquamist system changes his res only when he switches cycles, and only checks the ph once a week. So I suppose the situation and equipment has a lot to do with it.