Exposed View filter + ajax enabled View: the filter doesn't update.

Hello all,

I have a HS exposed filter. When I select a first level element, the second level is loaded as expected.
Then I click the "Apply" button of the filter, my content is displayed as expected, loaded by ajax.
Now, back to the filter, if I select a first level element to perform a new search, the second level doesn't change (see screenshot).

Details of HS config of the filter:
dropbox disabled
save only the deepest term (checked with term lineage, no change)
select terms from any level
resizable disabled

Any idea?