The plane would only be helpful if you'd be able to see it in SC, say analysis mode.
Agreed... that would be a little but good QoL improvement.
Currently I do the following : honk, scoop at full throttle, check how many signals have been detected, check if any bodies around could be part of the orbital plane, and move away from the star until I reach a speed of 1 or 2c and finally open the FSS. I didn't time precisely this new procedure, but I think I'm around 15 to 30 seconds longer than before (for a system that I choose to not scan, ofc).