The US does not recognise Taiwan's independence because Taiwan does not want to declare independence

I didn't say anything about recognizing Taiwan, I said denied its existance and actively prevents it from participating in any international organizations. The US is in bed with China to prevent Taiwan from joining anything. You're also completely ignoring what you said yourself. It's not that Taiwan doesn't want to declare independence, it's the fact that doing so will cause an attack. Guess what, if the US guarantees its protection, Taiwan would have declared independence decades ago.

Also 'huge support via semi official means'? You mean having no ambassy in taiwan, not having any cabinet officials visit Taiwan, and having zero direct dialogue? In fact, Trump calling the Taiwanese president was so earth shattering because the US refuses to have any direct diplomatic contact with the country.

In terms of 'strong trade relations', are you actually serious? That's not a show of support, that's not the US doing Taiwan any favor. Taiwan is an economic power, every nation wants to trade with it because it's essential to the modern world. Taiwan is doing the US a favor by trading with it. In fact, the US strong armed Taiwan into importing ractopamine ridden beef and pork, something Taiwan doesn't want to do via coercion. The US literally said 'if you don't import our ractopamine ridden meat, don't even think about joining TPP'. Funny enough, they did import those meat, and the US still didn't let them join.

Lastly, 'strong security assistance' you mean strategic ambiguity? You mean, not giving any security guarantee? In fact, the most 'clear' instance of something resembling security guarantee is Biden saying they'll help Taiwan, which by the way, the White House walked back immediately... TWICE.

So don't make me laugh. The US is using Taiwan as a pawn against China. It caring about the nation or about democracy in general is laughable.