I'll share one story about the 'moving dismount' you mentioned. Note that I have never been taught this in the past so I am sure I did it all wrong! LOL

One morning I was working a TB around the track (meaning going as fast as I can), anyways, when I was coming around the turn, I felt something off balance, so I looked down as saw that my saddle started sliping to the inside. I tried to recover the saddle and keep it straight, but with the curve of the turn it was too much, I finally took my feet out of the irons and tried to ride the horse bareback while going at a fast speed. The saddle was gone and I was bearly hanging on. I tried to pull up the horse, but racehorses are trained to work on the bit, so he was pulling against me and I needed the irons to give me enough leverage to pull him up. So, I decided I needed to bail! LOL I looked down and noticed the rail on the left and thought "mm that wouldn't be fun to fall on", so I grabed the right rein tighter and pulled the horse off the rail and started to slide myself off the left hand side and tried to let go keeping my body somewhat straight. Well, I landed and slid along the dirt. Not a scratch on me! That was the one and only time I had to bail off a horse and I was just so lucky I didn't get hurt traveling at the speed, but let me tell you, the dirt feels hard too!