Yes, if you have a commonly used command that has "exit" as a commonly used flag...

seibelj on Aug 20, 2016 | parent | context | favorite | on: Show HN: Replify – Create a REPL for any command

Yes, if you have a commonly used command that has "exit" as a commonly used flag that means something other than exiting, then by all means use something more specific like "exit2".