Here is an example where the convention matters.
Can you define which convention to use?
As a matter of convention,
\begin{pmatrix}
a_1 & \dots & a_n
\end{pmatrix}^{\intercal}
=
\begin{pmatrix}
a_1\\
\vdots\\
a_n
\end{pmatrix}
That being said, as long as your convention is consistent across all circuits in the project, the Hamming code decoder should work.