Bettern control of high speed turns?

Love to get some ideas from this community on how to better control drone at high speed so that the turns work better than shown in this video. This is doing a simple carrot following algorithm, but on a 90 degree turn you can see the nose of the drone slip downwards, like this. Love to get some ideas on how to better control the turns to avoid this problem.

PS: this is simulated in AirSim using PX4 v2 in HIL mode and MAVLINK_MSG_ID_SET_POSITION_TARGET_LOCAL_NED with velocity and alt hold.

What about coordinated turns for multicopters?

AirSim looks amazing! Any plans to add planes or even hybrid VTOLs?