It's more fair if every generation gets to mine the same amount.
You want supply to be predictable and for the inflation rate to go steadily down, but there's not much point in limiting the supply [1].
Technological progress makes the world deflationary. Your money should be able to buy more every time as we improve the productive efficiency of everything. And for poor countries, the best thing they could get is a censor resistant and value preserving tool.
Even if there was a tail emission, newer generations wouldn't have the capital needed for mining rigs. That's not just something unique to this case, same happens with stocks, real state or any other investment asset.