The direct answer to your question is YES! If you place, within your search the requirement for 2000 sq. ft. then all properties with less and ones with no stated sq. ft. would be excluded from the results.
There are numerous factors that go into a home search and unless you are purchasing a new home, one being built for you, then the sq. footage will be skewed.
Feel free to contact me with further details, Matt Keough, Patterson-Schwartz Real Estate, Delaware email@example.com.