To fix this, simply FTP into your account, download (forced ascii) the cb.core.php file found in:
../components/com_comprofiler/plugin/user/plug_cbcore
Find lines 235 and 236 which will look like this:
$userParams = array();
$userParams = $this->_getUserParams($ui, $user);
Change them to this (in other words, swap them around):
$userParams = $this->_getUserParams($ui, $user);
$userParams = array();
Reload the cb.core.php file (forced ascii, overwrite)
Problem solved.
A zip file of the fixed cb.core.php file is attached.
Attachment cb-e13bd50628871d3cf476322ca5ce5619.zip not found