Paying cash for a property versus taking out a loan...

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To all the experts, novices and beginners!

Looking for some thoughts and advice….

I am reading over and over again not to use 100% cash to purchase a property..but to only use your cash for the down payment and let the tenants pay the mortgage. But why not? I have done the math on the cost of the overall loan and the ROI versus cost to pay cash in full at time of purchase. Is there something I am missing? If I can save enough money to pay cash, why not? PLEASE educate me, I do not want to make a rookie move, but I am having a hard time wrapping my head why borrowing money (and paying all that interest) is better investment than cash sale.