What’s the point of running a 5W when you could run 0W all year round?
What I'm about to say used to be the case in past decades regarding shear stability and viscosity stability. I'm not sure how much it still applies in 2025 because oils are better than they used to be. Specifically shear stability and viscosity improvers are better than used to be.
A wider viscosity range means a thinner base oil with more viscosity improver chemicals. That's fine when the oil has low miles, but when the oil gets more mileage on it, the viscosity improvers get sheared and viscosity gets lower. This is more of a concern in a hot climate (OP lives in Texas). Also more of a concern with a direct injected engine because fuel dilution is an additional factor thinning the oil.
5w20 is (theoretically) more shear stable than 0w20. So 5w20 would have better op temp viscosity when oil has 4K or 5K+ miles of use.
In the same way, 10w30 is (or was) more shear stable than 5w30. 5w40 is more shear stable than 0w40. And so on.
The above was certainly true 30-20 years ago. Oils have improved a lot in 20 years, especially in shear stability. So I'm sure it's less of a concern/issue in 2025 than it used to be. However, I think it still matters somewhat. So if climate/season is appropriate for 5w20, then it still has its uses.
In this case, he lives in Texas with hot summers and probably has a direct injected car. So in summer, I recommend 5w20 in a brand that runs thick per grade (Valvoline Extended Protection Full Synthetic or Quaker State Ultimate Protection Full Synthetic for examples), or a 5w30 in a brand that runs thin per grade (Pennzoil Ultra Platinum).
He can use a 0w20 in any season or year-round if he wants to, but if he does that, then I suggest using a brand that is thick per grade (Valvoline Extended Protection Full Synthetic or Quaker State Ultimate Protection Full Synthetic for examples).