So the map you provided provides no information by time --- only the total number of cases. For Taiwan the total is 573 cases and 7 deaths total since the very beginning of the pandemic.
All the other data sources and articles demonstrate that Taiwan has not had a domestic case in over 200 days. Their government announced and celebrated this as well.
Let's remind you once again of reality...
Taiwan just went 200 days without a locally transmitted Covid-19 case. Here's how they did it
https://www.cnn.com/2020/10/29/asia/taiwan-covid-19-intl-hnk/index.html
Taiwan Achieves Record 200 Days With No Local Coronavirus Cases
https://time.com/5905129/taiwan-coronavirus-record/
Taiwan celebrates record 200 days with no confirmed local coronavirus transmission
https://www.washingtonpost.com/world/2020/10/29/coronaviurs-taiwan-200-days-local-transmission/
Taiwan No. 1 for COVID response: Brookings study
Taiwan only country with positive GDP growth, low COVID death
https://www.taiwannews.com.tw/en/news/4046909
The only cases Taiwan has seen in the past 200+ days are a small number of imported cases from people arriving in the country -- https://focustaiwan.tw/society/202011060015
"Taiwan has never had to enact strict lockdowns. Nor did it resort to drastic restrictions on civil freedoms, like in mainland China."
Gee, sounds sort of like Sweden doesn't it.