I do not find short-circuiting to be useful in every case. I use it only when required. For instance, when checking two different and unconnected variables, it would not be required:
If x > y And y > z Then
End If
As the article by Paul Vick illustrates (see link provided by Ken Browning above), the perfect scenario in which short-circuiting is useful is when an object has be checked for existence first and then one of its properties is to be evaluated.
If x IsNot Nothing AndAlso x.Someproperty > 0 Then
End If
So, in my opinion both syntactical options are very much required.