SR20DET has trouble starting up after being off for a short period

Hello! So the car is a 1995 240SX with an S13 era SR20DET. It was a raffle win, and as such I don't know a whole lot about the engine work done (neither did previous owner).

The issue: So let's say I turn on the S14 after it had been sitting for a while. Starts up and runs fine. But then I go for a drive, then park somewhere (car meet for example) and leave and come back 10-15 minutes later. After turning over, the car will start fine but then sputter out unless I rev it up. But even if I rev it up, it will still die after I let off on the throttle. And it will only finally "level" out and stop trying to sputter out after I actually start driving it. So basically right now when I go to car meets, I have to start up the car and immediately leave lol.

Now what I do know is, the guy who tuned the car said the injectors are janky af in it (I guess the previous owner denied the tuners offer of installing Injector Dynamics brand injectors in it). I heard injectors can sometimes cause this, think it is it?

Pic of car attached for fun.