That sort of reminds me why the turf farms also can't produce greener turf in winter of many types. Turf farms are generally located in open flat areas. Therefore they tend to be prone to frosts. A frost will harm the cells in a leaf causing them to die and that creates brown leaves. If you use fertiliser to make something grow you get lush growth (is lush growth on your tummy good?) and that has very thin cell walls that lose water easy in summer and are susceptible to disease, pests and stress and damage from frost.
For you guys, just get into feeding the soil instead and all will change in your plants and turf
that is why i say, even if it looks like poo now, get it anyway, persevre with the look. It will recover. It won't die. Good turf has heaps of energy stored in the root systems and dead leaf means little in new roll on turf. It will go green and Empire Zoysia will become a strong, waterwise turf that needs very little attention over the years to come.
It does need to be cut longer too. My lawn mower man has a simple bit of 90mm pipe that has a slit cut in it and he puts it onto his mower so it cuts longer. That way he doesn't have to fluff about with his normal settings