"No request new password" partially fails with "?q=user" login

I'm using the latest version of the "no request new password" module with Drupal 5.10 in a test site using Windows/IIS and a normal remote Linux site. I set up the remote site by importing the local site's database, so the settings of both sites are identical. "No request new password" works normally on both sites, with one exception.

On the remote site, if you log it at index.php, the module works normally, without the "Request new password" tab displayed, but when you log in to ?q=user the "Request new password" tab does appear, even though it doesn't really allow you request a new password. If you enter a valid e-mail address in the ""Username or e-mail address" form and click the "E-mail new password" button" you get an error like this:

"Sorry, me@mysite.com is not recognized as a username or an email address."

This glitch doesn't occur on the Windows site. Even on the remote site, the module is preventing the sending of new password requests, but of course I would rather not have the "Request new password" tab appear. Can anyone guess what the problem might be and what can be done to fix it?

Thanks.