So inconsistency in what Jagex should do what be fairer than a blanket statement of saying no, we don't do this?
Of course. Who cares about 100% consistency. Again, this is how it is done in other games. If they can't find it or its gone or destroyed, then that's that. At least you got your chance to get itgems back. As it is you get nothing, ever, even when it's dead simple to help.
How does that work?
They just check the logs.
You're almost underestimating the amount of work that needs to be put in to do this. First they need to check to be 100% sure that it's not just someone's friend who is "hacking" them to try and gain some advantage by doing so. Also the wealth in most cases would be spread very very quickly, so would be next to impossible to track down.
This is the last time I will repeat this:
If other games can do it, so can Jagex. Period.
If you think it's impossible, that's your opinion. They could find Chessy's (or whatever the name is) items which clearly shows they can, in fact, track items. That's a fact and it supports my argument that it is quite possible for Jagex to help their players.
Whether it is worth it or not to help players I guess is the question here. I feel it is worth it. Other people feel it is not worth it for Jagex to spend their time tracking down items.