Hello, Sara!
This is a good question. I asked a similar one some time ago but have yet to get all answers. I can definitely say that the “raw“ height is the height you specified at the moment of the treeannotator launch: ca, mean, & median. The values specified as just length or height are confusing; they even do not coincide with the values of the MCC tree in the posterior. I have not checked the coincidence of height_median with “raw” values on -height median.
I hope that the answer shall be finally found!
Best wishes,
Pavel