Yes, you will notice the difference between one and two years with hardwoods. Easier lighting, much more consistent and predictable air setting, much lower air setting, longer burns, more heat, less smoke on startup.
For some woods, (i.e. oak) this is more pronounced, but unless you have a perfect drying setup, I'm sure it's noticeable with all hardwoods, certainly the ones I've tried; oak, maple, hickory, cherry, tulip poplar, birch, locust and dogwood.
Better yet, use better quality shower curtains when they get too grimy from the shower, then you get several years of a second life out of them.
TE