If you do not recognize unrealized losses, it strongly biases investment toward low-risk rent-seeking investments because the expected return is much higher than long-term high-risk investments under this tax regime. Startups, biotech, etc become unattractive as a place to put money because the financials don't make sense relative to rent-seeking and investment is not a charity. Paying taxes on non-liquid assets is a massive risk for average people, greatly reducing the practical investment opportunities available to them.
If you do properly recognize unrealized losses, it creates a scalable new mechanism for tax avoidance that would reduce tax revenues. Not only are valuations strictly notional and effectively fictional for many assets, but intangibles are often entangled in asset values that can't be accounted for in a sane way (e.g. the act of transferring an asset can greatly reduce its value ipso facto). These intrinsic logical inconsistencies allow almost any tax story to be constructed using assets.
While no government wants to deal with the consequences of broadly recognizing unrealized losses, they also don't want to incentivize all investment to go into low-risk rent-seeking endeavors like real estate instead of long-term high-risk investments in technology and innovation. It is a damned if you do, damned if you don't, so governments generally opt out of this type of tax altogether.
The wealth inequality problem in the U.S. is INSANE. If the U.S. had a population of just 10,000,000, literally 12 people would have as much wealth as the bottom 60%, i.e., 6,000,000 people, combined. And yet, here we are talking about how "impossible" it is to simply tax wealthy people.
These systems were made by humans. They can be fixed. Wealth inequality and taxation of the wealthy are not laws of nature that can't be changed.
Interesting idea. We sort of already do this, we apply property taxes based on the value of the property as pegged at purchase (re-assessed over time). We could exempt loans on collateral already subject to property (or other value-based) taxes, but could then put a wealth tax on any other asset used as collateral for a loan at the collateral value agreed on by the lender.
The "impossible to do" is a common excuse for people just not wanting to do something.
The common excuse is that the ultra wealthy aren't actually cash wealthy. They have all their wealth in investments that are rarely if ever actually realized. People throw their hands up in the air and say we can't tax unrealized wealth. But how do wealthy people get cash? They borrow millions, hundreds of millions, or even billions against their unrealized wealth. So limit or tax their borrowing of this money such that it forces the realization of wealth, which would be taxed, or they are taxed on what they borrow, respectively.