You don't save money for a down payment, you save and invest money for a life(time). Any good financial advisor will tell you, it's not how much you save, but how long you save. Five years is nothing to an investment, 20-30 years is, and that's where you will gain over buying - remember you never own the home, you're buying it - with the difference between renting and buying. Remember it's the total cost of the house and property.
If you don't believe it, crunch the numbers over 20-30 years and an investment will out pace and gain a house. Maybe not all the homes, but in the intervening years you'll be putting money in the house and property that won't show up in the value of it. Take the value of the house and then subtract the total of all the costs over the same period, especially principle, interest, taxes, insurance and improvements, and you'll find you might break even, if lucky gain a little, and if really lucky, a lot more (like California a few years ago).
Don't forget to use the buying logic on all those families facing foreclosure this year and losing their entire home investment. it's gone and all they have are the receipts, not unlike renting. And despite what you think of landlords, you can always move in a month. Try that with a house and not have to write a lot of checks. Renting is also about the freedom to live anywhere anytime you want. And if you don't want to pay rent, buy a camper or RV and travel, or park it (cheaply) in a park. In the end, it's all a trade-off with your money and your life between life now or when (future).