Because Tooltip wraps the trigger in a div, this interferes with the trigger/hover conditions so a tooltip will not appear. We should make it so Dropdown (and probably Select/MenuContainer will need this as well) creates an internal ref to use by default for tooltips, or we should make it so Tooltip does that internally.
Workaround: Create a reference, pass the ref to DropdownItem and the triggerRef field of tooltipProps.
Aside: Keyboard navigation still shows the tooltip, it is only the mouse that doesn't trigger it.