The mutex ensures that no one else can perform a read or write while it is locked. Otherwise you could mismatch requests and replies. [W1,R1], [W2,R2] instead of potential W1, W2, R1, R2
You could have it in a non-reentrant VI, but then you would also restrict parallel operations for completely different ports.
In this case, in could be wired direclty to out since there are no modifications to it. The mutex will be locked either way.