This value is most likely much too low. What you have here is a lack of control on angular errors. This can either be too low mixer values (higher values = more power) on pitch and roll or a too weak PID controller or a combination of both. You can see in the video and from the logfiles that the controller needs to add high PWM values to correct the angle which is a consequence of a big angular error that needed to get corrected.
First increase your mixer values to higher numbers and then tune your PIDs. You will probably not be able to increase angle P to a high value since this usually leads to oscillation but I'm sure you can increase angle I to a much higher value. I fly copters of almost the same size (a little bigger) with angle I values of 0.005 to 0.006 (10 times more than the default value).
You don't have to fear that the the stronger values will produce a higher PWM addition which would lead to more/earlier saturation. On the contrary, there will be lower additions because the controller will not allow big angular errors to occur and instead corrects even much smaller small errors.