Maybe not but when from some sources especially
At the end of every Free Republic thread article list:
Disclaimer: Opinions posted on Free Republic are those of the individual posters and do not necessarily represent the opinion of Free Republic or its management. All materials posted herein are protected by copyright law and the exemption for fair use of copyrighted works.
The use is what constitutes fair use, not the statement.
If the image is not used in fair use then the statement changes nothing.
The fair use clause was added in many web sites in the 1990s when companies did not understand copyright law as it pertained to the Internet. A number of cases, including those by FR itself, have established the fair use practice.