Beforehand, users could press ENTER to open their chat and freely move the mouse; select menu buttons in succession without the mouse closing. Now, the new chat automatically closes and removes the mouse when clicked outside of the chat box. Anytime a CuiButton or anything outside the chat box is clicked the mouse is removed and the user will have to press ENTER again to release the mouse.

This does not happen if a user clicks some of the text within the chat box after initally opening it.

This is a bit problematic with in-depth menus; is there any way around this or will have to hopefully wait for developer fix?

But isn't there a component in UI for making mouse visible? It may be plugin issue then, since it's intended to be so in case developer didn't add this component.