Dedupe checks for Organizations causes an error when updating any Organization records

A problem with dedupe checks for Organization records causes a "One matching contact was found" error when editing an existing contact. An example:

I viewed a particular Organization record at http://srlp.org/civicrm/contact/view?reset=1&cid=44.
I clicked on Edit and was brought to the editing page at http://srlp.org/civicrm/contact/add?reset=1&action=update&cid=44.
I edited and saved the record, but was brought back to the editing page which displayed the error "Please correct the following errors in the form fields below: One matching contact was found."
However, the supplied "If you need to verify if this is the same contact click here" link was http://srlp.org/civicrm/contact/view?reset=1&cid=44, meaning that the match was for the same record I was editing.

Kurund helped me figure this out and fixed the code on my site; thanks, Kurund!