Change Hovertool toggle status in sever callback

I have multiple hovertools that are used in my Plot. Because they overlap a lot when all are active, i would like to set all but on as toogled off at the start (as if the user clicked the toggle button at the beginning). But i could not find any resource on if thats possible or if so how to do it.

Additionally i want to use a multi box tool to switch between them (toogle them on and off) so that only one can be active at the time and the toogle buttons are more visible than in the toolbar.