The logo designer for corporation is one of the most outdated features in the game.
My suggestion is to keep it as it is, but add more shapes and colors to choose from. You could add more simple shapes, like vertical and horizontal lines, half lines, etc. and ability to pick more than three shapes. This way, we could make more unique corporation emblems with devs spending minimum amount of time on its rework.
Ideally, it could be reworked and operate similar to how SKIN studio thing works, but this would take resources and time and I know it won’t happen due to priorities.
That’s why I think developers should simply add more shapes and color options to the emblem designer.