I thought about it, but it turns out the clover that people use for lawns isn't native, and I figured that if I'm doing the lawncare, I'm going to go as native as possible. I don't think our natives here in the US - trifolium reflexum and trifolium carolinianum - work very well as a "lawn" like that. I do have the carolinianum seeds that I want to grow in a container. Both are rare, so I want to help keep them in existence.
I'm looking into native sedges right now since they provide a lot of ecological benefit and are better-suited to growing in the soil conditions of my yard.
You can get alternative bulk mowable native lawn substitute seeds from the Thomas Payne Foundation.
Around here, it isn't possible to do native lawn. The grasses are too tall and the low groundcovers can't be walked on. I'm trying to plant wildflower meadow but it will be a couple of feet high.
My idea is that there are two types of lawns. There are the lawn you use, and it is fine to be grass. But there is a lot of lawn that is landscaping and that can be native plants.