TSM Reddit Mentions | ChartExchange

It's not. That would be projecting a very American reason to want Taiwan onto a country with a very different (and far older) culture and history.
The way the Chinese government acts and views things is basically like a Chinese dad - a bit too traditional, far too stubborn and sometimes quite abusive, but in general they do things for the long term or greater benefit of the people (or as retaliation after 'putting up with shit' for too long).
Unless you have absolutely no exposure to East Asian culture, I think with that sort of comparison it should be easy to see that for TSM chips, the Chinese government's policy is to incentivise everyone to "study hard and become an engineer and work hard and take apart the chips until you can make better chips or you're disowned and won't receive ~~Chinese New Year money~~ grants anymore".
Then for Taiwan itself, I personally find it difficult to understand although I understand where it's coming from. Taiwan is allowed to govern itself as long as it does not declare independence. China will take over if it declares independence because **they want to ensure no American military operations and bases on an island very close to major shipping ports**. This type of arrangement was agreed to by most countries decades ago. Because the Chinese government acts like a Chinese dad, 1) they're far too stubborn and unwilling to look at alternative solutions, and 2) would view going against an agreement as betrayal.
It's essentially for similar reasons as to why China (and most East Asian countries) have extremely harsh laws against drug possession, usage, etc. The British turned people into opium addicts because they didn't have anything else of value to exchange for tea, used military force when the Chinese government tried to curb the issue and subsequently forced unfair treaties to be signed after 'winning the war'. It's a "history must be prevented at whatever cost" type of thing.
East Asian conflicts over the past couple of centuries are pretty much all due to outside interference and Western colonialism. The last Chinese dynasty essentially went to shit because it was ruled by 'barbarians from the north' who destroyed relationships with their neighbours which subsequently allowed everybody to be invaded by Western countries and the Japanese (who had adopted Western imperialism after America threatened to shoot them all if they didn't open their ports/borders).
Europe managed to grow out of doing that kind of thing but America still continuously does it to this day. Just look at Venezuela and even the shit that was pulled this weekend. Current president even makes American foreign policy and political propaganda blatantly obvious so I find it quite amazing how slow people are to catch on. Taiwan is unfortunately never going to have the chance to negotiate independence until America significantly reduces the number of military bases they have in Asia. Some countries want to be able to export and import goods without having to worry about the threat of military force if they don't cave into every American demand.