However, I don't think wealth tax is a good tax. You'd be taxing something you want citizens to have: wealth. It seems that wealth tax is often used as an easy fix to "we can't somehow tax the income of high-earning wealthy people because they arrange the legal ownership of their wealth so that it's hard so let's tax their wealth". What should be fixed instead is profits slipping out of the taxable base. In general, a lower but wider tax base is always better than higher spot taxes that encourage people to optimize. Wealth tax is just a slap-on solution that mostly just encourages tax planning.

The inequality of the distribution is the true issue, and indeed not taxing the wealthy enough does accumulates that. A country should be proud to tax widely and moderately, even the highest earning people and businesses. A country can't compete with a tax haven but a tax haven can't compete with a functioning state and society. Working to tax wealthy people more in par to what ordinary people are taxed would work towards a more equal society. Some of the wealthy people would move away but the country should recognize and maintain that it has other factors of appeal than the tax rate.