For most ordinary Americans, the largest asset they will ever own is their house. Owning that asset is the essence of the old American Dream. So it seems like your original comment was primarily about housing assets.
Anyone can get a home equity loan to access the appreciation the house might have. They dont pay taxes on the loan, and many people use the money on improvements that further increase at value of the asset. That combined with further asset appreciation and the loan pays for itself when the house is later sold.
Ordinary people can and do do this. The rich just do it at a much larger scale.
Finally primary homes don't have any capital gains tax on sale (or at least not up to a pretty high limit). So this whole discussion is irrelevant. Ordinary people can always sell their "biggest asset" without paying much in tax.
Also rich people get way, way lower interest rates borrowing against their assets than us poors do on HELOCs.