Renaming a term with Taxonomy Manager module doesn't trigger menu update

Hello,

I'm using the Taxonomy Menu module (and Menu Block module as well) to display my taxonomy as a menu in a block. Dev team did it well so it is very useful. Thank you.

Now, If I rename a term using core taxonomy module, the menu is automatically updated but if I use Taxonomy Manager module instead, the menu is not updated until using the "update on submission" checkbox in admin/structure/taxonomy/my-voc-name/edit

Please note that I don't blame anyone from Taxonomy Menu or Taxonomy Manager dev teams but I have to start somewhere ;-)

Phil