Should lsass.exe be in windows start up programs?

I use Vista 32 bit home premium OS with Vista service pack 2

 

When I go

Control Panel>Change Start up Program (show for all users)

 I do not see lsass.exe

It does show in the currently running programs and in Windows Task Manager (show process for all users)

 

and the file path is correct

C:\Windows\System32

 

Just curious if it should be showing in the start up programs for all users