It also doesn't make the tax onerous; a revenue-neutral switch from our current taxation scheme to harberger taxes would be revenue-neutral, whether it was based on market value or personal value.
Like many people I'm taxed at source with minimal options to change my tax bill. I pay the going rate, as per the rules. Putting the obligation on me to do a bunch of work and worry about correctness would be a huge source of frustration and unhappiness.
If you mess up an income tax, it's easy to get your house taken away and auctioned, with $0 of the proceeds going to you. If you mess up a harberger tax, you get all the proceeds from the sale at a price which you literally just said you'd be happy to sell for.
The frustration and uncertainty isn't nothing; but I think if you were on the harberger system your whole life, and someone asked you if you wanted to switch away from it to the current US tax system, you'd laugh in their face.
And even if my car is worth $5k, not having to sell it and buy another one (even if I can find it) is worth a premium.
It's likely that something like Harberger taxes could work in certain situations, but not normal people ones.