Actually, consumers very much do delay purchases, especially of big ticket items like white goods, cars, and houses in deflationary regimes, just as in periods of hyperinflation they do the opposite. This is easy to look up as there are many examples through history (especially of the latter — Brazil is an excellent and frightening example).

Groceries, sure, but then as a consumer you are still impacted because suppliers are less likely to provide the goods you want.

Deflation is really bad. One of the consequences of the gold standard was the big swings (inflationary after a big gold strike, like California' Yukon, or Victoria; deflationary when the gold supply could not keep up with economic activity) that you can easily see in the second half of the 19th century.