They also aren't a tax on capital gains because there is no form of "basis" for real estate taxes: it doesn't matter for the determination of the tax who the owner is or when the owner bought the property, or, in principle, at what price.
Meanwhile, real estate sales are also subject to capital gains taxes, and I don't think you can detect property tax payments against the capital gain!
I think you made the overall point correctly: in the U.S., ownership of an asset is generally not taxable at all, and therefore unrealized capital gains not only are not taxable but don't affect one's tax liability at all, except for assets whose ownership is itself taxable, which is the rare case rather than the common case today.