I don't know if this is wrong, right or "other." But it looks beautiful to me.
At least four species in this one small patch of lawn: the fescue I planted and three soil-improving legumes. Midway through our year-two growing season, they are pumping nitrogen into the soil, so we don't have to.
All "weeds" according to conventional market hype (and the neighbors). Fortunately, once you join the ranks of organic turf farmers, you no longer have to swallow market hype.
The neighbors? I placate them with free homemade beer. That salves their grumbling. :-)