It all depends on the chronic disease and whether it’s on the approved list. I would recommend finding the generic name (not the manufacturer’s brand name - use wikipedia) and plug it into the search function at the top right of this site. nhi.gov.tw/. The results will all be in Chinese but that will help you get an idea of whether it’s covered. If you like what you’re doing with your meds, 67 dollars is cheap but it could be even cheaper with the NHI. And even if it’s not, it would be prudent to know whether you can get the meds you need at the hospital if something goes wrong trying to ship them from America.
And for the record, Taiwan is a socialist paradise with regards to insurance. In America, if you are lucky enough to be employed by the government or a sufficiently large corporation, you can get some pretty sweet insurance. For a recent grad with a chronic disease and student loans, those kind of jobs are hard to get. Taiwan offers cheap insurance, living wages, and steady employment for anyone with the right passport and a decent command of English. You’re coverage won’t be as good as under a really nice American employer plan, but it also isn’t dependent on you having and keeping that one job. Drug costs, as long as they’re on the approved list, are laughably low. Native Taiwanese will bitch because they paid 500 NTD at a hospital pharmacy, but that’s barely 15$ US.
The NHI may well collapse, or raise its rates or any number of other things that will make it less sweet, but for now it’s a great deal. I’m actually surprised that more Americans don’t move over to Taiwan to take advantage of it.