I applaud the high quality references, but the wealth taxes studied by Econ are often not the wealth taxes that are in popular discourse.
In particular, the general public, and the few inequality economists like Piketty, Saez, and Zucman, advocate for a billionaires wealth tax. Due to the lack of any sort of data on this, the broader economics profession generally only studies the effects of wealth taxes in the top bracket, which targets the wealthy, but not the ultra wealthy.
The NBER paper you cited is particularly egregious. The claim that a one percentage point increase in the top wealth tax rate leads to capital flight is arguably misleading because Sweden and Denmark have infamously flat taxes (contrary to popular belief). Their top wealth tax applied to singles/couples with a wealth exceeding 1500K/3000K, or about 150K/300K USD.
That is... not very wealthy, and if anything only middle/upper middle class. Not at all what a billionaires tax would target.
The broader evidence is that Sweden has exhibited a serious backsliding in its inequality measures, and the collapse of its welfare state after abolishing wealth taxes.