In general I steer clear of properties that don't cash flow. I mean I make more by burying the money in the back yard! ;)
I also don't like the idea of making a bigger down payment to make the property cash-flow. But that statement is a gross over-simplification. Most investors know about Return-On-Investment, basically cost of investment divided by return on investment. We use ROI to help us determine which investments to make. If investment A has an ROI of 10% and investment B has 5%, we should lean towards investment A.
We almost always have to put money into the down-payment, or renovations, to make the property cash flow. And that's OK. But understand that equity in the property (ie the down payment and renovations we make, and appreciation) is money that could be invested elsewhere. To wit, we can calculate the Return-On-Equity of the property, the equity divided by the return, similar to ROI. If ROE on a property is lower than the ROI on some other investment then we need to find a way to get that equity out of the property and into the other investment. Make sense?
So now, you are pondering making a larger down payment to make a property cash flow. Just remember that this down-payment is effectively equity in the property. You can calculate ROE and ROI on several different down payment sizes to figure out the "best" down payment size.
Each property, and each investor, will likely have different results. If you don't care about cash flow, you'll generally want to make as low a down payment as you can and not lose money. Heck you might even be willing to lose money if total ROI is high enough and you can afford it.
I can usually get 7-8% out of hard money lending. If I can't figure out how to get at least that out of a property, I move on.