Most of us have a preferred side and for most of us that will be the side we pull toward us. Now, you can, as said, develop a technique that uses both hands to pull the blade toward you regardless of side. You can also sharpen side-to-side instead of push-pull.
Me? I'm a push-pull old school dude. First thing is to go slow. Second thing is to not confuse water stone techniques with non-water stone techniques.
I can't say this enough, use a marker on the bevel. And not just at the start. Keep using it. If you mark the bevel and make a couple passes and see that you're hitting it off angle and make hand adjustments and then it looks like you're hitting the angle how do you really know? If you were high before and now too low, the marker will be gone but your angle will still be off. The goal is to take it all off, shoulder to edge, in one stroke. So if you make hand adjustments that look like they are right, re-mark the bevel and verify.
Relax and go slow. If you're hitting the right angle you'll start to feel it and you'll feel if you dig into the stone. Stop. Reset and try again.
Let's all say this together...There is no such thing as muscle memory. There is no such thing as muscle memory. There is no such thing as muscle memory. It's a myth. A phrase coined somewhere along the line in sports or whatever but the only part of the human body that can have memory, is the brain. Muscles only repeat things because the brain says to do so. You muscles and nerves only feel things because your brain says to and your brain interrupts the inputs and makes decisions based on them.
Why is this important? Because we're not focused on our hands, we're focused on the feel and our knowledge of what makes a sharp edge and what we are seeing and experiencing with our strokes. If you think you should be striving to some enlightened state wherein your muscles can just pick up a blade and go to town, then you're going to get even more flustered than regular sharpening can cause you to be.
If it is muscle memory, then how can we adapt to new angles, different blind types, and so on?
Understand the why, and the how will follow.
Also, study your blade before sharpening. Non-matching bevels are VERY common in production knives. The angle may be the same from side to side but one bevel is often wider than the other. Know this before you begin so you know if it is something you're doing or something that was there before your started.
Long way around the barn to say that on the push (away) strokes, you need to be even more focused. And don't confuse focused with tense. That's so easy to do when we're really trying to do well at something. It's amazing how tense our bodies can become, just thinking of something challenging, let alone attempting it. Relax.
Accept that you will mess up. Accept that your edges may not split atoms in the beginning. Define what sharpness you need and desire. Build on success. For the most part, unless you sharpen a lot and often, we all struggle at times no matter how long we've been at it. It is super easy, but at the same time, if it was super easy, no one would talk about it.
There's lots of ways to skin the sharp-knife cat and if folks have methods that work for them, more power to 'em. I've been sharpening knives for forty odd years and I raise a burr on one side, raise a burr on the other side, de-burr and refine. People will say burrs are bad. I disagree and have never seen anything convincing to support it. I can't shave paper towels with my edges but they are plenty sharp and they last. But to each their own.