Advanced Menu Submenu Compatibility with Taxonomy Menu

After enabling advanced_menu_submenu submodule, child items in a Taxonomy Menu do not display correctly.

For example:

Link 1
|--Sub 1
|--Sub 2
Link 2
|--Sub 11
|--Sub 22
|--|--Sub 33
Link 3
|--Sub 111
|--Sub 222
|--Sub 333
|--|--Sub 444
|--Sub 555

displays

Link 1
|--Sub 2
Link 2
|--Sub 22
|--|--Sub 33
Link 3
|--Sub 555

Basically, all I get back is the last child of each level.

There's also two issues here:

The first one is that something changes (not sure what) that affects the way it is displayed. If I view the source of the page where there is a taxonomy menu block, all of the links are there - just not visible. I didn't really have the chance to actually look deeper and see if it was simply a CSS issue.

The second is when a taxonomy menu is included as a submenu to another menu, the missing links actually aren't even there.