the plots are from a line or what is called a ULA and there is a mirror image response. It is sometimes called a left/right ambiguity.
Your question’s answer depends on the purpose of your simulation.
if you have a problem where objects are distributed over 360 degrees, simulate that, otherwise 180 is fine.
I usually plot in $\cos(\theta)$ coordinates which range from -1 to 1 for most of my work. For a ULA, the pattern is the same regardless of the steering direction using this convention. If the array weights are symmetric, 0 to 1 is sufficient.
It all depends on what your application is and what you are investigating and the conventions of your community which isn’t specified in your question.