The CF mistake REI make is they think you can accumulate CF properties starting from the beginning. You can't, and you shouldn't. Even if you could (and you can) find a lot of PCF deals out there, how do you buy them? It's not like you have an unlimited source of DP's available to you, and buying all cash is foolish. If you think you are accomplishing something just because an all cash deal is PCF, it's an illusion. All you are doing is playing catch up to your cost,...you cost being the cash you put into every deal. That's your cost. The more you put in, the more you have to recover before the PCF is actually a profit. That's one of the big reasons to leverage. You can spread your cash out, and each property then accumulates CF to recover the same cash you might have used on one all cash deal.
Buying for accumulating equity is also an illusion. The equity is actually what you are paying for the property. It's a form of cash that is locked up and useless to you. Those that say it has value, I'll give you all of my sports trophies I've accumulated over the years. I'll even through in my daughter's. They are both the same value.
The power of the equity is the PV it buys. When you initially buy a property, ad 20% DP, you are buying a property that's worth 5 times what you are paying for it. As the equity grows, it's diluting the power of that equity since it grows on a 1 to 1 ratio to the PV growth. Remember, that equity started out as a 5 to 1 ratio.
Here's my take on the roles of CF and equity, and why I say you must have both:
Role of CF - To accumulate within a property to equal the cash you put into it. As long as you have PCF, this really means you have a clear property since the tenant is paying for the rest.
Role of Equity - To grow from appreciation to a point where the growth is equal to the original equity, thus doubling it.
When both things occur (order doesn't matter), I sell.
Banking only on either CF or equity is a loss. You have to have both, and to say you can't just means you are looking in the wrong markets, and/or using the wrong strategies.