We have a live support chat on our website, accessible via a button that always floats in the bottom right of the page, above other content. This chat widget inserts itself as the first child of the body tag, and so it comes first in the tab order. It feels kinda weird for it to come before any of the navigation elements on the page.
Logically, where should a button like this go in the tab order? Putting it at the very bottom also seems weird, making it harder to find, especially on pages with a lot of interactive elements.