Sorry to take so long to get back to you. We think you getting these emails may be a combination of two issues:
1. The directory /usr/local/lsws/autoupdate contains information on when the emails have been sent. We're wondering if the server doesn't have permission to write to the files in this directory and thus keep a record of what emails you've been sent.
2. We think your server may be restarting frequently. This would be a symptom of an unrelated problem, but, if the directory above doesn't have a record that you'd already received an update notice today, then it will send out an update notice at restart. Have you been seeing many restarts?
Sorry again for the delayed response.
"...of shoes and ships and ceiling wax/ and cabbages and kings,/ of why the sea is boiling hot/ and whether pigs have wings."