I think the assertion is "If you have everything else in the business right, then Deploying quickly makes it cheaper to fix issues and ship revenue generating features to customers, which will lead to more profit"

I think it's hard to say that there's a causal relationship though -- a lot of companies that can afford to invest in automation are those with already successful products + money to invest. This may change as it because easier to automate provisioning and deploying to environments (something I'm working on at my new company, jetpack.io)

But in this case (unlike in the classic "x, ???, profit" memes), there are connections that you can draw, that can plausibly lead to profit. If you've worked both with and without quick, easy deployments, you'll know that there's a difference.