A term's unpublishedness is not reflected when using it in an exposed form of that taxonomy in a view

Repeatable: Always

Steps to repeat:
* Use a taxonomy to filter related content in a view
* Unpublish a term from the taxonomy
* The term is still present in the exposed form

Expected Results:
* The term is _not_ present in the exposed form

More info:

I am using one of my taxonomies as a filter (for related content) in a view, using an exposed form. The taxonomy has been set to use taxonomy tools.

I have unpublished a term in my taxonomy using the taxonomy publisher from taxonomy tools as usual; and it indeed appears unpublished when visiting the term's page. Cool.

But when I look at the dropdown filter for the taxonomy term in my view, the unpublished term is still present (as anonymous or admin user). I had expected that the term would vanish from the dropdown in the exposed form when it was unpublished.

Any fix (or pointers on where to look to fix it myself) appreciated!