It would be more accurate to target wealth inequality, which will disproportionately target the old wealthy people by nature (and also younger people who are wealthy through wealthy prior generation).
Some decades are more lucky than others when it comes to the generation of wealth. That is an inequality in itself and it affects everyone not just the top
And we know that wealth tax does not work because of the structure of the world financial system. We can't pretend that if we try again and again it will work.
The inequality of housing in particular is a result of generational demographic factors which led to political choices (low inflation mandate - high interest rates are being imposed on new generations to pay for housing obtained with record low interest rates). These are cases where democracy fails and cannot guarantee the fundamental right to housing (in fact it actively fights it). Bandaids cannot solve this
Even my dad, who has both a 401K and a pension and Social Security and draws $70K yearly from them even though his living expenses are around $20K... he is hardcore into the idea of doing whatever makes the Dow go up, because that to him is the greatest good.