Yes that's correct, but only in the new models.
Ruger's NM .30 Carbine Blackhawk will shoot off the shelf .32-20, no re-chambering needed. If you reload, you can even reload 32-20 in .30 Carbine dies and the case necks will not be worked as much. Use a .32-20 shell holder. There's a difference in bullet diameters, .312" vs. .308" but they shoot with fine accuracy.
They will tend to raise pressure slightly in the smaller .308" barrel diameter although of no consequence in the robust Ruger cyl and way under its max pressure limits. And you may have some leading with lead bullets depending on hardness.
If you reload you can use .308 bullets too.
Even though the .30 Carbine is a rimless round it's a good thing the NM lets the .30 case head stick out more than just the rim thickness since the .32-20 rim is .016" thicker.
.32-20 cannot be fired in OM Ruger .30 Carbine guns as is. The chambers seat the .30 carbine rim flush, so the rimmed 32-20 case head won't fit in the end of the chamber. A simple recess cut in the chambers to the .061" thickness of the .32-20 rim is needed in the OM chambers or facing off the rear of the cylinder .061", will fix that.