A very interesting counter-part design is the Burj Khalifa tower in Dubai that while taller, does not have any dampener at all[0].
It does need to be mentioned that the Burj Khalifa only needs to deal with winds and does not need to worry about earthquakes where as Taipei 101 does both.
[0] https://www.quora.com/What-is-the-Burj-Khalifa-damper-system