Yeah, timeframe 2 years was just used as an example, it can be 100 years and it will be healthy for network. Supposing that someone 100 years old will have enough time to make 1 single transaction output on those funds to reset timestamp. Even if the algo will be written after last 1 satoshi will be mined to take in place the timestamping. And move those funds back into circulation.
Congratulations for conveniently ignoring my other arguments.
Again, dropping hundreds or thousands of BTC into a system where people deal with millionth fractions of a single BTC can easily cause an inflation. That's similar to what irresponsible countries do when debts go through the roof: print money. We've seen those results more than enough times; it never works.
Just forget what you consider lost. What you think is lost might be someone else's long-term investment.
Also, your proposal is not free for users. They are forced to either pay a transaction/keep-alive fee, or loose their money. And we have seen fees that were higher than the actual transaction amount.
Lost coins are no issue because remaining coins can be split infinitely. You are beating a dead horse.