Is running the same speed as walking? Can somebody tell me and send a experiment video of somebody or you testing it out with a timer and stuff.

No, it IS noticeably faster, I don't really think you need to experiment. Just walk for a period of time, and then hold down Left Shift or whatever the key you assigned it to run, and you'll see quite a difference. It would be quite pointless if running was the same speed, anyway.

I didn't get it from myself. I got it from the internet. And yes I see the difference but I didn't know if the screen was just moving faster like a optical illusion but okay.