The first steps in Prince of Persia are a bit rough not because of the environment, which presents almost no obstacles and a lot of room to discover by accident instead, but because this new body contrasts with the usual lightweight platformers. Now each step counts, building speed is crucial and a calculated process. Even when familiarized with the controls and the levels the weight is still there in every single movement.

One of the first hits to succeed Prince of Persia was Another World. At first glance, the influence is obvious, the rotoscope animations, the silent minimalistic 2d environment with a "realistic" body to move… However, at the very first screen it becomes clear that it didn't get what made Prince of Persia really unique. The sections that asked to explore and carefully calculate your motions are now contained mini scenes to be repeated until solving the conflict. This usually leads to a result of scratching your head trying to understand what exact thing the game is asking of you or repeating a platformer/action section with the most lifeless movement ever created until you learn all the traps. In both cases, dragging the pace. Yes, there were some more logic driven moments in Prince of Persia and the surprise of the traps made little sense considering the repetition too, but they were anecdotic towards the real action. Here all the weight is watered down in favor of a constant search for the exact solution.

In some universe, the weight of our bodies would still be as popular as the speedrun feeling of keeping an inhuman movement forward constant. At least, fortunately, the concept has never been totally forgotten. Unfortunately, Another World proposed that platforming and action were about being cinematic, which apparently meant solving sequential bad puzzles.

Very very good. Not counting Getting Over It, I've never played a traditional 2D platformer that is centered around a non-traditional controller for this kind of genre: the mousepad.
Right click is for jumping, but this is reduced to a simple action that makes the other two shine: grappling and movement itself. Due to these two features, I'd say that the true arquitecture is not physical: it's what you are able to do in midair and being conscious about it. Unfortunately, maybe this wasn't as explored as it could've been, but it's a phenomenal project nonetheless.

I encourage you to play it. It's free.