Absolutely! After only a few plays they are obviously noisier. However, there are things called 'dub plates' that are direct mastered like a lacquer but last a lot longer. Generally they tend to be noisier than lacquers but if someone has worked out a quieter material it could be pretty nice.
To be clear, in the one step process the stamper is made from the lacquer which is destroyed in the process. So you have one shot that the stamper will be OK, otherwise if you want the more direct sound a one step can be, you have to remaster with a new lacquer.
This is a common myth just so you know.
Even in the leadout grooves you can cut a 30KHz tone and play it back (I did it with my Scully lathe with Westerex 3D cutterhead, and played back on a SL1200 tt using a Grado Gold). Tape simply does not have that bandwidth. Nor do you get excess noise- that's an artifact of playback, often by a pickup that isn't matched well or set up well in its tonearm.