Each tab:
(1) Copies the state of the tab/window from which it was cloned;
(2) Remembers and maintains its own state individually.
So, either create your new tab at a time when the panes are closed in the current tab (if that is the default you prefer), or else be willing to change the pane state when you switch to a tab if it isn't what you want for that tab.
(Or, don't use tabs, I guess.)
Also, it really helps to know the keyboard shortcuts for opening/closing the panes. When these are second nature, I find this is not such a big deal.