Hi, Mark. It works fine for me.
(Stéph, I am using Outlook 14.0.7106.5003 from MSOffice Professional Plus 2010)
Here's what I do. Please follow these steps and tell me where your results differ from mine.
1. Open MLO and Outlook each in a half-screen view, so they are both onscreen at once. Open the inbox view in both programs.
2. In Outlook, click-and-hold some item from the Outlook inbox. Result: drag&drop of the selected item is initialized.
3. drag the item to the MLO inbox. position it between two existing items in the MLO inbox until a red line appears between the two items and release. Result: new item appears in the MLO inbox.
4. click on the new item in the MLO inbox to select it. in MLO's right-hand pane, check if task properties are visible. If so, click the "properties" header bar to clear properties from the display. Result: task note is displayed.
5. click on the blue Outlook link in the task notes. If a message is displayed about a program wanting access to Outlook, allow it. Result: the Outlook item you selected in step 2 opens in a new window.
-Dwight