Which is perfectly reasonable if you understand that these questions are looked at through the lens of international diplomacy and these people don't just wing geopolitical questions because every single answer can cause an international shitstorm (not just in regards to China, but every territorial conflict really). This may look awkward to the ordinary viewer but it's not really.
The WHO has a fairly strong interest in staying out of politics and being a health organisation, so whatever diplomatic position they take is mostly just going to be whatever the status quo is. If you think the non-recognition of Taiwan is unethical then you should take that up with your respective government, a guy speaking for the WHO isn't really in any position to make incindiary political commentary.
But it does support the statement that "The WHO is a political organization with medical leanings".
Personally I think that statement puts it a bit too strongly. It would be like saying "PyCon is a feminist organization with technical leanings."
Or even any cases where they were wilfully blind?
Sure, they can make a bold impassioned speech about how science is far beyond petty concerns like national sovereignty and so on, but this isn't a movie where a great speech suddenly brings everyone to their senses. In reality the WHO works through public health departments in nearly 200 countries and also gets its funding from governments, so if they spit int he face of sovereignty, they'll cease to exist in any meaningful way and aggregate health outcomes will definitely be worse.
I didn't say organisations can or should ignore politics - of course, politics affect every organisation, especially those that work across borders.
My entire comment was about the childish behaviour of the WHO represenatative when asked about Taiwan[0] - he was literally one step away from putting his fingers in his ears and shouting "na na na na na!".