First thing I do is relocate the chat icon to the very bottom of the bar. It will become the first icon hidden when the bar runs out of room. You must unlock your Neocom bar to drag the icons.
The chat icon is always there, when you minimize it is still there. When minimized it shows an extra icon of the active chat tab.
Any window with an X “close icon” on it will not appear on the Neocom when closed. Chat, Station Services, Selected Item, Drones, and Overview have no X and cannot be closed. When minimized they are sent to the Neocom.
Making groups as you can see here. Chat and Inventory were immune to me dragging them and dropping them to my test icon.
You can autohide the Neocom or just ignore it as I do.
As a side note, I clone all my settings across accounts and characters. But that is another thread…
Fly safe o7