It is a lot more an extremely uphill battle to fight vs. go with the flow. You'll likely spend more fighting it than the tax and the burden of proof is obviously all on you. Or so reads the documentation and so says a friend of mine who does tax assessment for the city.
Luckily, they don't look inside. While your assessment may go up, it'd go up even more if they came in and saw your remodeled bathroom, finished basement, that sort of thing, etc.
Obviously not a golfer.