Hi dtref,
Just like Thunderbird filters, the webmail filters only run on your Inbox once the messages have been downloaded.
That is to say, the filters run "client side" after the messages are received in the Inbox and then appropriate action is taken (i.e. Move to Trash).
At this point, what you want are server side filters. These are filters that run on our servers as the mail is being delivered to your spool. We support "procmail" files, which is a semi-advanced set of instructions that are run on our systems as we're delivering mail to you. Writing them, unfortunately, is not a beginner task and incorrect rules can result in mail being lost. While we allow users to create these files, our support team cannot help or offer any assistance except to remove the rules in the event of problems.
That said, I think I know exactly the nature of the messages you're talking about. I helped a friend who was having a similar problem here write some rules which has almost eliminated these messages altogether. If you'd like, PM me your details or email
[email protected] with some samples and put attention to my name in the message.
If the messages you're getting are similar to the ones I've written some rules for in the past we can largely put a stop to these on the server side so your mail client never needs to download or see any of the messages. Additionally, the filtering will happen whether you're opening Thunderbird, webmail, or an email program on a mobile phone.