It's probably worth making a closer comparison though:
* Buying a House on Loan: commit to paying off a $450k loan over 30 years at 5% interest, with an immediate $50k down payment and the home itself as collateral. So ~$2500/mo payments, another 400k in interest by the time you're done. Your home probably appreciates by that much in most markets, which gives you a million dollar asset at the end. In some good markets, it may appreciate by 3-4 times, which would mean you have a 1.5-2 million dollar asset.
* Pure Financial Investment: put $50k into a fund, add sustained regular $2500/mo contributions. Let's imagine that the fund averages a conservative 5% annual return and we do this for 30 years. The outcome should be... a bit above 2 million dollars.
All investment involves risk and variable outcomes, but the BHL plan probably has a more varied outcome. Parity may be as common as substantial profit.
The PFI plan, on the other hand, performs really well even considering conservative 5% returns: over 2 million dollars (minus 400k you would have probably paid in rent). Bump it to 8% returns and we're looking at 3 million, a performance even many good real estate markets couldn't match.
Its major problem is that you need to be disciplined about putting the chunky contributions in, which means you need to consistently have rent-payment-level disposable income to make this work. Many working people don't.
Leverage lets housing costs go to equity and interest payments, which is key leverage for people who don't have disposable investment income. But less key for people who do.