I'm aware of what he wrote. Sorry if my shorthand confused you. The plots (which you seem unable or unwilling to attempt to make yourself) I made in
this post used mu=5log(cz/H0)-5 and mu=5log(D_L)-5, where D_L is the luminosity distance at each redshift given Omega_Lambda=0.73 and Omega_M=0.27, both taking H0=100km/s/Mpc.
Again, you keep poking at things I say without bothering to look at the data yourself. Why is that? As I said above, I'm just some random schmoe on the internet. You don't have any particular reason to listen to what I say. You should be listening to the data, and I've shown you where to get it, and suggested how to do the relevant calculations. If you do that, it should become amply clear why I've said Lerner gets this completely wrong. You'll learn a lot more that way than if I just try to explain it to you as I did when making those two plots.