Market value is identified and defined by the appraiser within the context of a specific appraisal assignment. Market value (as appraisers use the term outlined in USPAP) is not always the same thing as "price estimate," which can mean whatever anyone (appraisers, users, non-users) wants it to mean because nobody has defined it and everyone is working from different definitions. USPAP cautions appraisers to "identify the exact definition of market value, and its authority, applicable in each appraisal completed..." I can't help but think this is one of the reasons why using exact definitions is important. When exact definitions aren't used, the kids at the front of the class get into semantical arguments. So where does that leave us? With the need to define the terms.
Since you can't even agree on what "price estimate" means, and you haven't identified what definition of market value you're using, this debate will never resolve itself.