This issue is especially germane to those who use Dave Ramsey's methods of finance, specifically the "emergency fund". That fund has to be immediately liquid and is only to be used for real financial emergencies (medical bills, big home/car repairs, etc). Being immediately liquid means it will yield little or no interest, which means it will be eroded over time by inflation.

The slow loss of value due to inflation might be seen as the cost of the security provided by the emergency fund.