I would imagine this being a very tedious task.
Thete are so many satoshis being sent around the clock.
Would be tough to monitor all of these transactions.
yes you are right and lots of it kind where to be in this world without any support because they are lost by someone so finding all of them will be very difficult and making it again as a new currency will not be possible in many times.
Anyone could have to pay attention and monitor for BTC transactions if they paid for it. Actually all BTC transactions were recorded in the blockchain but it is difficult to trace the numbers of BTC were loss and really a tough job for anyone. I don't think if there is someone who can challenge to check that.