Assuming the tank parts are the same, noise levels will be similar. For example, if it's a gravity flush using a tower or flapper(s), then noise levels will be pretty low.
If it's a pressure assist in the tank, where compressed air is used to force the flush, then those will be noticeably louder.
I was replacing toilets at the Crystal Mountain Ski area in Washington State,, and they pretty quickly decided that there would be no more pressure assist toilets there. Many of the bathrooms are back to back, and we found that the Gerber Maxwell wall hung toilets worked well with less noise.
Gerber Maxwell wall hung, with the gravity tank.
Now if you're talking wall hung with Flushometer valves, like used in a commercial setting with a 1" water line supply, those can be off the charts for noise.
American Standard Glenwall wall hung with a pressure assist Flushmate.
A/S Glenwall is a noisy flush.