Some good points in here! I think you are generally doing the community a service by making a level like this.
However, I have two counterpoints to make.
Firstly, not having the run powerup at the beginning is not a game breaker, and neither is jumping without one. I've played a good number of levels where you had to perform acrobatics without the run powerup, and I wasn't crying foul. The only real situation where not being able to run is a bother is if you then make the player walk across several featureless screens, or if you just leave them without the powerup for too long.
Secondly, remember this screen?
I got past this challenge on my first try without even really trying, and I don't consider myself to be a professional at this game.
The secret is to climb up the side of the wall, reach the top without moving left or right, and then jumping to the next wall.
Just a minor point there, but do keep it in mind.
I will say though, that you raised some good concerns that are currently in a level that I am making. Perhaps I will need to gleam over my own level again and fix some of these problems.