(Your screen shot) Those are SIS default values. You must plug in the FC to see the current values. They are only stored on the FC. But I don't see a problem that needs fixing in the videos.
Those sudden boosts are perfectly normal. If all those twitches were caused by transmitter stick movements, I would say that it was flying very well.
Let me give you a yaw example. Yaw is a "rate control" which means the rotation rate is a simple proportion of where the stick is. In the center you have 0 degrees rotation per second. At full stick you may have configured 300 degrees per second. So at half stick right, you get a right rotation of 150 degrees per second. What happens if you move the stick from 0 to 150 degrees per second "instantly". You have commanded it to accelerate from 0 degrees per second to 150 degrees per second instantly so it does the best it can to get it to 150 as quickly as possible. Once it gets to 150, the motors slow down because it takes much much less force to hold it at 150 rotation rate.
This is just like a car. You hit "resume" on the cruise control and so you have commanded it to get to 110 quickly, but once you get to that speed, it takes a much smaller amount of power to keep it there.
If you don't like the revving up, you can reduce it, but not eliminate it. This will make the quad smoother, but slower to react to your commands. Personally, I like to be able to tell it to do something quickly if I want, and just move the sticks slower if I want it slower.
One way to slow it / smooth it is to reduce "Maximum Rate (all modes)" (I forget the exact name) toward the top of the Stabilization page (bank 1, 2, or 3) Advanced tab.
In GPS (VelocityRoam) mode, the roll and pitch sticks command horizontal speed. Say that you have set 8 m/s configured as max speed. Instantly moving the stick to 1/2 stick is asking for it to instantly be moving 4 m/s. It tries to instantly bank the maximum configured amount in order to accelerate horizontally as quickly as possible. As it gets to 4 m/s it levels back out to almost level, just enough to maintain 4 m/s.