Say I've got a master page with a text box on it, and in that text box I have the text "cat." I color the text black. I then apply this master to a basic document page, allow overrides on that page's local instance of that text box by Ctrl+Shift+clicking it, and then change the text color to blue. Now if I go back to my master page layout and change the text from "cat" to "dog," and then I go back to my local page (where I'd previously re-colored the text blue), the text is still "cat"; it hasn't been updated to "dog."
Is there a way to allow local overrides to text style, but maintain the live link back to the actual master page text box content? I could've sworn InDesign used to do this back in the day. Are there options / toggles for this sort of thing somewhere?