If it was up to me, the initial scan would have the FSS results in the cockpit, (the signal read out) then you go in into FSS mode to scan and catalogue the system.
I also don't know why the orbital plane isn't shown in the cockpit after the initial scan. It's there in the FSS when you go there and it says it's established when you honk. This would be nice to see so you could move the ship to a position that doesn't have the sun blocking it.
I'm finding that it is a richer experience although I too wish we could do the honk after entering the system while refueling and then move to the FSS once we are away from the star.