I would not discard RV batteries based on age.
I would get a hydrometer similar to below. Check the electrolyte condition.
Hydrometer on AmazonIf you've never used a hydrometer, this seems like a pretty good beginners guide to using one:
Using a hydrometer to test batteryAssuming that checks out, if I still had concerns about condition, I would pull the battery and have it load tested. Fully charge it first, using your coach converter, so you know you charged per your normal equipment.
The only equipment I ever replace the battery on based on age, is my Ford 6.0 diesel. That is because it is known to be very sensitive to marginal battery voltage, and will blow the FICM even though it still starts the truck.