Random832 comments on Harry Potter and the Methods of Rationality discussion thread, part 14, chapter 82 - Less Wrong Discussion
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The problem is, hearing this would almost certainly cause Harry to research what a Philosopher's Stone is, and given his stance on immortality vs death, would almost certainly do everything he can to try to get one (unless there turn out to be insurmountable obstacles to using it to mass-produce elixir of life for general distribution).
There's an active prediction on PB.com that making Stones requires human sacrifice etc.
Only an issue if making the elixir consumes the stone (which is more what I was getting at) - one already exists, so it's a sunk cost.
It could also be an obstacle to mass production if the rate at which it can be produced with the existing supply of stones is insufficient to make enough volume for mass distribution.
The best "theory" I read was that only the person who makes the Stone can drink the Elixir, which would explain why only Mr and Mrs Flamel have benefited from it.