Before taking up saddle hunting, I mostly used a Black Diamond RC harness with sewn eye tether and Qsafe as my tree connection rig. I thankfully never took a tumble and put any of it to the 'acid test', but know from gym climbing experience that RC gear is made to take a fall and reuse. Several of the full-body type harnesses are one-and-done, meaning if one happened to tumble off some form of stand and it functions properly to prevent ground impact, it should be replaced. Much of that has to do with materials and design, but having slack in the system to allow body movement also significantly increases the forces in play during an actual fall. Physics is unaviodable when playing above the ground.
With that said, I understand saddle gear to be more closely designed and quality built to compare favorably with an RC harness. So if you took a tumble and needed your tether, bridge and saddle to keep you suspended while doing a self-rescue, you would not necessarily need to replace any or all of it before the next outing. Some probably would replace their bridge and tether for peace of mind, but that is why the safety ratings for such gear is many times typical body weight...to function properly in the event of a reall 'event'. Maintaining constant tension while saddle hunting greatly reduces the slack and compounded forces that a full-body harness wearer would likely experience.
That is all 'worst case scenario' consideration, so when should you replace your carefully used and stored gear that has never been challenged by a fall? As noted above, expiration dates and such are likely a legal 'CYA' precaution by the saddle and rope makers. They don't know how the end users are employing their wares, so they err on the side of caution. Is a saddle that is worn maybe 20-30 times a season in pretty good weather without abuse or modification and stored indoors really 'worn out' in X years? Same with bridge, linemans and tether...if they are used properly and show no sign of wear, are they done in X years of relatively light use? Compared to working arborists, their gear likely gets more wear and tear in a couple weeks than a saddle user puts on in a season...maybe a couple seasons. But in the long run, the cost of replacing a tether, linemans, bridge or even a saddle is very minimal next to an impromptu emergency room visit, treatment costs and PT.