Hi Mark,
Listed in known bugs is "URL attachments are not shown on search page."
The Identified Problem:
This appears to be because dictionary.php [files_loop] explicitly references $stuff["Files"].
A Solution:
I solved the issue by
Step 1: updating dictionary.php adding (around line 18):
'[urls_loop]' => '<?php foreach ((array) $stuff["URLS"] as $file): ?>',
'[/urls_loop]' => '<?php endforeach ?>',
Step 2: updating default (and used) search template in admin by adding a new row to the table
<tr>
<td class="files">[urls_loop][file_with_download][/urls_loop]</td>
</tr>
Step 3: Save Template (needed because applies dictionary.php substitutions as well as updating database)
This template shows both files and urls on the search page, complete with audio player if installed.
Hope that helps.
I realise this is a 'work-around' and there may be a better way to do this, but at least it works!
Every blessing.