No, the answer must be false.
Since null = null is false, your case statement will return the else value. You hard coded it to be false, therefore it will return false.
Since null = null is false, your case statement will return the else value. You hard coded it to be false, therefore it will return false.
If you want the lack of data to be acknowledged in a case statement, it’s up to you to handle it. SQL isn’t a magical fairy that does what you want without asking.