I personally found it more convincing to think of what I would have done the first time the asset doubled. There is no way I'd 'let it ride'. At some point you rebalance your portfolio and you 'miss out' on some of the upside by hedging your bets against an isolated downside.
I bought my first AAPL stock at ~$40 a share the first time, which I believe was about a year before their previous stock split. If I'd held it continuously I'd have 8x as many shares and a basis of $5 a share, which would mean I'd have 25x as much money as I started with.
But my portfolio would be unbalanced as hell, and I would have missed out on a lot of run-ups for WWDC and such. So I sold some, did profit taking on the rest, and occasionally bought back in, not always at the best times. So instead I have about 5x as many shares, and my basis is more like $45 a share, but now with some dividends on top, which is nice. If anything, my portfolio still has too much AAPL in it (I sold about 10% a few weeks ago)