What if we were to call ourselves Diocesan Catholics? I think I'll do this for now, but I'll be happy to change it, if and when a better name comes along.
In most circumstances, naturally, we need make no distinction at all. I suggest this only because there are likely to be occasions when we will need to draw attention to specifically non-Ordinariate matters which have an equal importance for our Ordinariate Catholic brethren. It would be unthinkable that they might be at risk of missing out on something they might not hear about otherwise.