Is that all N with no K or micronutrients? If I applied that little N in a year to zoysia, I and my clients would be looking at pale zoysia that is also eaten up by disease. Especially dollar spot. I usually start with 1/2 lb N spoon fed monthly and at least 1/4 lb K along with a complete spectrum of micronutrients. I have dealt with the funny phone calls because I thought I would cut back on the fertilization during wet periods. I get to explain why there are 1" spots of dead grass all over the lawn and why the grass is yellowish. Topdressing and organic matter is ok, but never do I let political correctness compromise a client's lawn.