In the broad definition of what makes something "political", that is definitely the case. No disagreement.
However, to not drift this discussion into definitions, I'll agree on your definition of "politics", which - correct me if I'm wrong - is any activity that involves decision making.
Let's assume, in that or any case, every decision and action to be political. Then the important question here becomes: how do we make political decisions that would ensure the most transparent, decentralised, instant and honest reporting? Would that mean trusting all medical facilities/staff of any kind or excluding some?
Point is: if every decision is political, then let's make the good ones with the best possible outcome, regardless of their nature/definition.