Best practice is leave it exactly the way you found it, allowing for prior nitwits.
Usually, when somebody goes to the trouble of attaching two different hot wires from 2 different sources to a receptacle, it's because they have split the receptacle. That would be revealed by the "tab" being broken off on the hot side.
This is intended for switch control of desk or floor lamps, as a (cheap for the builder) substitute for installing a proper overhead light.
However, it also happens all the time, that the prior nitwit did not know any of this, and did a receptacle swap e.g. for aesthetic reasons, and didn't know about tabs and didn't break off the tab. The usual sign of this is that a switch somewhere goes completely inoperative. And sometimes over the ensuing years that switch is deleted.
You ask about "gold standard" but what you're really implying is "A guideline for the rank novice". Unfortunately, what you're doing, asking on StackExchange, is about as good as it gets for the novice who has yet to learn to decrypt subtle signs like a /3 cable delivering 2 hots to a receptacle and one hot continuing onward. (or vice versa perhaps). I don't have a good answer for an easy way to spot this.
In your case I would fish the old receptacle out of the trash and look for the broken tab. If this picture is of the old receptacle, then I'd consider "prior nitwit theory" and break the tab off the old receptacle before removing it, and see if a switch suddenly starts controlling one of the two sockets here. Let that be your guide for breaking the tab off the new receptacle.
Also note that el-cheapo receptacles (which I don't necessarily recommend) are 50 cents, so one could certainly "try" breaking off the tab on a cheapie and see what happens. I generally recommend spec-grade receptacles for their quality, and particularly (if you can stand the rectangular openings) the Leviton Decora Edge receptacles with their "lever-nut" style terminals. It means you can make a reliable and legal connection without a torque screwdriver.