Displays only active category

Hi,

I’m working on a site that isn’t live yet (please contact me for credentials in order to see it), with the Woocommerce product dropdown widget in the sidebar. I actually put it 3 times in the sidebar for each of my 3 categories, and it’s working fine and displayed correctly on the products list page, but each time I’m a product page the only dropdown that works properly is the one of the active product category and the other two are displayed but with a blank title.

Thanks in advance for your help,
Deborah