... the inherent value of our 'possessions' are declining...
OK. Actually it is the price that is declining. The inherent value does not. You can still live in a house, drive a car, keep food in a fridge, so its utility is undiminished.
Asset price inflation puts up the price of your house, or your tulip bulbs, but their value in terms of what they do and how you can use them has not changed. If you are using them for their purpose, rather than treating them as units of exchange, you are no worse or better off