@kars4

I confirm. 
SHS with the above patch works with the Search API and can be used as exposed filter widget. 
Thank you  wombatbuddy → .

Thank you so much.
 It's a 9 year old code. Do you think it will work on D10?

Hi wombatbuddy,

Thanks for comment.

Image is not broken, just drupal.org doesn't allow upload image on post.
https://www.drupal.org/forum/support/post-installation/2018-06-04/how-to... →

Regarding of Better Exposed Filters in my understaning there is collapsible all terms in one click. Because of I have lots of taxonomies I need collapsible each parent separately. Like on picture.

https://upsos.com/images/Taxonomy-Tree-Widget.jpg

Looks like related issue.
Not admin user cannot use the SHS if not enabled "Toolbar" permission for registered users.

It is not fully functional for me.
Not working Chosen widget and creating new items.