This hasn't been true for the income tax [0], nor the capital gains tax [1], nor (at least in Silicon Valley) for real estate taxes[2], which are closest to a wealth tax. It's a reasonable thing to consider, but given the evidence we have, should not be a driving consideration.
[0] https://bradfordtaxinstitute.com/Free_Resources/Federal-Inco...
[1] https://en.wikipedia.org/wiki/File:Federal_Capital_Gains_Tax...
[2] https://www.boe.ca.gov/proptaxes/decline-in-value/
edit: I was misinformed re: income tax, tracking only the top rate.