Psalm titles

I noticed that when my favorite reader, Max McClean, reads from the Psalms (ESV) on Biblegateway.com, he does not read the headings (“A Psalm of Asaph on Jeduthun,” or “A Psalm of David”, etc.).

What is your viewpoint on these headings (often called “titles”), found in the Hebrew text? Do you believe these heading are part of inspired Scripture (some versions number them as verse 1), or do you believe that these headings are something less than inspired Scripture?