Create new filter: hide First name, Middle name and Last name if not used

Hello. I use in backend field "Full Name": Name Format: Single Name.
When user register, he fill one field.

Is it OK that system ask me to search (when I "Create new filter" also with First name, Middle name and Last name?

I can't find anyone. May be it doesn't when only "Full Name" is used.

May be First name, Middle name and Last name should be removed from search form if It doesn't used in site? Thanks.