Hello AdaSirin,
I'm glad you liked the mod and I'm aware of the things you mentioned. Unfortunately, The Sims 4 has a lot of limitations when it comes to scripting the camera. The game makes it unable to accurately track down the camera movement, and it only updates the camera position when its standing still. That's why its not possible right now to change the direction your Sim is walking towards on-the-fly based on the camera rotation.
I'm also aware that the animation may seem a bit choppy at times while on third person mode. This is due to the rate at which the game updates the current zone scripting. The actual game engine was not meant to have real time controls like this, and I wasn't able to find a workaround for that.
If these limitations bothers you in any way, I recommend that you give the first-person camera mode a try (Shift + Tab). The controls make it easier to freely rotate your Sim, and the movement may actually be a bit smoother.
Anyway, I hope this helped. Thanks for the feedback!