What matters is completely subjective to you, and this chart is still arbitrary. If anyone tried to create a universal version of this compass that incorporated all parties, not only would they differ or find disagreement from someone else's, you'd still be hard-pressed at really finding any political definition about any party that matters when placed on it.

Additionally, this chart carries the same sort of willingness to oversimplify politics into the left-right pantheon into forms of government - https://en.wikipedia.org/wiki/List_of_forms_of_government . Neither the "left" or the "right" have a monopoly on calling the other authoritarian. It can help distinguish parties only subjectively and the context of knowing who is plotting the chart. Ask someone politically distinct to you from another country and non-Latin language to fill it in, and it would be very different.

Personally, I would say what matters to me more is the consistency of what they say to the reality, and while in regards to the political lines it might be fuzzy since both will claim hypocrisies of the other, in regards to the constitution and design of their governments I find that it is much more telling since the measures can be much more objective - but it also requires one to be much more informed.