That depends on many factors, such as the quality of ammo, how well the rifle is cared for, and how well it's treated.
Bottom line is, the Henry's are nice little rifles and make good shooters but are not going to be a "Legacy Rifle" that you can pass on to kids and grand kids.
By that time, if it's used much it'll be pretty worn mechanically, and certainly cosmetically.
They make much use of "modern manufacturing methods", which means stamped parts and non-steel parts in key areas.
As example, the "receiver" is actually a cover that slips over the action much like the steel cover on the Remington Nylon 66 rifles.
Rifles like the Marlin 39-A, Winchester 94-22, and the Browning are all steel rifles that will last several lifetimes no matter how heavily used.
The Marlin especially is famous for quality and longevity and is the oldest firearm in the world still being made, with only a brief interruption during WWII.
The Marlin especially has a great reputation for outstanding accuracy.