> With destination shopping, e.g. to buy a new sofa or bicycle, customers have invariably been online already and chose the store that way.

Not necessarily. For $100-$1000 items I'll walk into a store without an intent to buy that day to price shop and if I'm tempted to buy I'll quickly check online and see if the store will price match. In the bay area I've actually had the store price match their own online store even though in store price had a '20% off sale'.

Seems pretty common for bay area stores to sell above their online prices and price match if you ask.