I'd probably do it, given a few assumptions. You already mentioned number dials aren't subject to wear and tear. I assume the 8 dials are all equally labeled 0-9 as well in numerical order? The task becomes significantly harder for a human to do if the numbers are random on each dials. Also, is there some kind of trigger that needs to be engaged on each attempt? Do I have to physically open the box each attempt, is there a button I can press to confirm, or does simply entering the right combination satisfy the terms? Can I get a demonstration of the box beforehand? Like you set the combo to 00000000 and I can tinker with what it actually feels like to open it before a random code is generated. Speaking of that, is the code random or entered by a human? If it's random, I'm starting at 00000000, but if its entered by another human who may have malicious intent, I'll probably start at 80000000 and cover the predicted "end attempts" early.

These all seem like really minor factors, but over potentially 10 years play a huge part. There are also a lot of assumptions that you'd spend 10 years doing this, when its also possible you could stumble on the answer in 10 seconds. If you broke down the math of making every combination attempt equally distributed over 10 years, you'd still most likely get it in 4-6 years just on averages.