Exactly!
I can see this might be a logical consequence of treating scalars and 1x1 matrices as equivalents though. For example, when one wants to solve the system x^TA=b where A happens to be a single column vector (matrix) and b is therefore in this shady area of being a 1x1 matrix in some contexts and a scalar in others. In that case, right “dividing” by A on both sides might be a mathematically elegant way to get the solution for x. So there seems to be some rationale behind it but it’s rather subtle at first sight. Obviously, 1 element vectors are also in the same shady club.