Welcome Stephanie.
Do you need a heater / defroster to pass a safety inspection in Hawaii?
As you mentioned, you'd have two hoses going to the heater core under the dash - if you remove the heater core then you could safely connect those two heater hoses together. Now, instead of going out to the heater core and back again, the hoses would just be a loop.
I wouldn't bother doing any of this unless there was a problem with the heater core.