OK, will come with version 4.5, which is expected to be released on 24th of August.
Some insides: Elasticsearch does not store a NULL in a field, instead the field is not existing for the relevant object. So we have to search for a not existing field.
In the search form, the user e.g. may type a 'null' as value into a field.
Ticket: COOL-2942 - Objects can be found using fields marked as having no content