Gauntlet is a movement game similar to something like Just Get Through, Yooka-Laylee, Sonic, etc... In these types of games, the player's fulfillment comes from mastery of the movement system. So in pursuit of a fulfilling experience, the movement system should feel intuitive, fluid, and rewarding.
Where Gauntlet struggles in the intuitive department stems from the wall-jumping mechanic. Naturally a player will want to give a directional input as they jump from a wall, but more often than not this leads to a failed jump. After some experimenting, it seems that jump velocity and direction don't actually depend on directional input. Because of this, the wall-jumping mechanic feels like the player is fighting against it for control.
In terms of fluidity, the room just doesn't feel like it's designed to be moved through. Platforms that visually communicate that they need to be jumped on end up being just barely too high up, causing the player to get stuck on the sides of them and breaking the flow of movement. The spacing of obstacles seems to fully interrupt the flow of movement as well rather than having a clear path by which to navigate (such as a gunner taking up the full width of a narrow vertical chamber). The extremely slow speed of the wall sliding also seems dissociated from the idea of fluid motion.
Systems for rewarding movement might be beyond the scope of a game jam, but I would love to see rewards such as a speed boost or a higher jump or an upward wall-slide for good timing or difficult navigation to reinforce the principle of mastery over movement.
The use of the theme is clever. Iterating over the same room is a fun concept and I think you executed it well.
The gauntlet seems forced and unnecessary.
Summary: When designing movement games, mechanics and layout should aggressively cater to fluid motion, while obstacles punish mistakes in technical execution.