You could instead have the button downpress "charge up" energy and then begin the jump when the button press ends, which would allow for more realism, but also introduce a delay.
yes absolutely, you can't have both realism and snappy response times.
I think humans are worse than this than you might think. Give it a try! Walk around and try to change directions on the fly, maybe have a friend shout suggestions to you. I can make maybe 2 or 3 adjustments per second, which gives about 400ms response time. That's about where RDR2 sits, and players criticized it for being unresponsive.
There you 'actively' walk and 'manually' keep balance. It's an interesting experience, but it makes walking a conscious act, it becomes something you do.
Arguably that is less realistic than just moving an analog stick, for most people walking is just telling your body to move in direction x.
An interesting personal anecdote I have:
I damaged my back with bulging disc, which caused horrific sciatica nerve pain.
When I was able to walk again, I had some nerve damage.
This meant I had lag in my left leg!
I’d tell the leg to move instinctively when walking and there would be a delay. The entire walking movement of the leg was present, but just with a noticeable lag!
It was weird!
Eventually it healed fully, or I adjusted. Not sure which! :-)
Your brain is hiding a lot from you.
Controllers use analog input for the sticks. I guess you could create a system which uses a dead zone where the player "signals" their intention by partially moving the stick in their desired direction.
This would be incredibly cumbersome though, and the payoff would not be worth it.
Like those arcade shooters where you duck and lean to dodge bullets, or a full fledged whole-body VR setup on an infinite omni-directional treadmill.