Extremely Limited Fields for Exporting Lists (as compared to Searches)

I want to know if any additional fields can be added to a list export than the 3 that are given as options in addition to the name.  I have exported several saved searches which had many more view options (see below) and I'm disappointed that lists are so sparse. I feel I wasted a lot of time.  

 

 

ALTERNATIVELY: Is there any way to convert a list into a saved search so that I may have all view categories I want?