I believe that the set-up of tabs – with columns, checkboxes, any other customization – does not persist or get stored if the tab is closed. Therefore I just keep all customized tabs open all the time.
There’s no drawback to doing that. And if you don’t want them “cluttering up” the space you’re working in, you can create a whole new window for the same file and work in that – leaving the other window in the background as the storage site for your customized tabs.
(There is another way, but it’s baroque: You create the tabs you want; you open the TBX file – rather, a copy of it – in a text editor and copy out the relevant XML that defines those tabs; you save that somewhere; and you paste it back in when you want to recreate the tabs. Simpler just to leave them open.)