First, good luck and find a deal that works for you then go find another. Repeat until you reach financial goals.
The choices you are contemplating are like comparing apples and oranges. They are both fruit but completely different in taste. Each one is fine depending on what you're hungry for. Then only way you "lose out" in either scenario is if income cannot cover ownership and debt if applicable.
There is no better returns available for cash money today than rental real estate. If you can afford to buy properties for cash and keep them debt free, that's the biggest cash on cash return you'll find out there today. But many of us can only do so much and need lending to keep the inventory growing.
That being said some caveats:
Liability: debt free properties are prime targets for attorneys/creditors.
*Leverage: Property rich and cash poor is problematic when there are interruptions in cash flow that strain your ability to meet debt obligations.
Lending: At some point you my hit a wall with being able to get financing. Each lender has rules to how much they lend in any one area and to any one individual.
*Equity: We may like to think that the difference in value and debt is "our equity". I see 30%+ equity as insurance against anyone or anything that can threaten your ownership of a property.
Tenants: What vacancy factor you use in your cash flow calculations is very important and one that seems to be always too low after the fact. Use 10% even with the properties that are "guaranteed" income. I.e.: a vacant single family home is 100% vacant. A 4-unit with one empty unit is 25%. Until you have enough units to somewhat ignore this variable, go with the worse case scenario that still make the numbers work.
*These are two sides of one coin and are on a continuum. More leverage, less equity. And vice versa. Would you rather own $500,000 worth of real estate with a 40% equity position or 1,000,000 with a 10% equity? Can you guarantee adequate cash flow during ownership to cover all ownership costs? Leverage and equity will recalculate the risk depending on the % of each and monthly income. They will also influence how you sleep at night.