This seems like it might introduce a different perverse incentive for people to remain in their homes indefinitely even if they’d prefer to downsize / move. Might further exacerbate supply / demand issues.
You can allow people to carry it with them if they purchase another home. They should not be able to pass it to their children. It should also only apply to a primary residence. No investment properties or 2nd homes+.
At least with paying taxes on a sale then everyone is paying their fair share. It also reduces the incentive to vote in favor of a housing shortage.