Are they the Honda OEM mufflers? If so they do not have any type of insulation in them like many aftermarket mufflers with "glass packs" do. They are just a series of tubes that force the exhaust gas to circulate in a certain way before being able to escape. They would have had to have sat with considerable moisture in them for a long time before that material would have deteriorated a significant amount. Have a look inside of them with a good flashlight to see if there are any signs of rusted flaking metal.
If they are Honda mufflers and there is excessive exhaust restriction, and assuming that there is no added restriction due to something like a dead mouse in there, the more likely cause of increased exhaust restriction is a defective catalytic converter. The catalytic converter is the smaller cylindrical piece immediately in front of the muffler. As a quick test just for kicks, if you have one of those non-contact temperature readers, check to see if there is a significant difference in temperature between the two catalytic converters. The hotter one will be the one that is more restricted.
I can't tell you what a normal temperature would be as I have never checked this on my ST1300. I also can't tell you how much of temperature difference between the two sides is still considered normal. Dave (
@dduelin) had a defective catalytic converter if I remember correctly. Maybe he can advise what the symptoms were and how he troubleshooted it to give you an idea.