Do all medium / low value transactions eventually get priced out? Say I have a utxo that is currently $100 USD in value. Bitcoins value increases such that it is now $1000 USD in value. Is it possible that this becomes “dust” because it might cost $500 in transaction fees to spend it?

Is it also possible that my ability to stack bitcoin and consolidate it is is too slow such that the increase in transaction fees outpaces my ability to stack and consolidate utxos, such that all of my bitcoin de facto gets turned to dust and there was nothing I could do about it in the first place except be rich?