You know, Root, if you paint quickly and thoroughly and leave the paint alone to dry, it will level out nicely. As nice as your walls are.
Here's the thing: if it's hot or breezy, the paint dries faster. Actually we're not talking drying here as much as sets up. You would add something to slow the paint down. Cold moist temps and the paint might slide off the wall before it sets up. You get the idea on the conditions. You want to be in the middle.
Now let's talk technique. If you get the paint up and spread around quickly, it will have time to level. If you brush and brush or roll and roll, you will start to see brush marks or roller texture. Keeping a "wet edge" isn't always enough.
Let's say I want to paint a slab door. First, I don't want to monkey around taping and trying to brush around a knob, so that's off. I will cut in near the hinges with my brush first then take a medium nap roller and put material on the whole door with long strokes. Almost all the time the roller will be on a short extension handle so I can roll top to bottom spreading the paint out evenly. I might have to reload the roller once.
This can't take over 30 to 45 seconds, so the door better by propped and immobile. Then I will take a wide brush of good quality and "tip" the paint off with full length strokes from the very bottom to the top. Maybe 6-7 strokes to go across the door surface. Then get away! Stop painting on that door. If you missed something and go back and try to brush out a small section, you will see that forever.
You have to paint quickly and accurately, Look at the door surface from off to the side with background light shinning on the wet paint. You will see any skips, what we painters call "holidays." If you catch these before tipping with just the tips of the brush fibers, you will have a perfect door that looks sprayed.
Works every time.
BTW, new paint will transfer any existing brush marks or runs right to the surface. Your surface has to as smooth as you want the completed job to look.
One more tip: the right amount of paint (or even slightly too much) will not run if it's spread out evenly. Runs come from too much paint over too little just below. Plain and simple.