Thank you for your post.
Since "Auto-complete with value list" is not supported in WebDirect, you would get the same results as if you unchecked that option in FileMaker Pro. That is, if you only have "Include arrow to show and hide list", you will get the same results above. If you enter the first character of any value list entry, the drop-down list will not display, and if you then click the arrow to show the value list, the list will not be filtered. You have to enter the first character again with the value list displaying to filter the list.