Using objects and arrays of objects as traits in email editor (Broadcast)

Can we use custom traits of data type objects and array of objects in email in Engage? 

For example - consider these traits - last_car_plan_selected (object type), list_car_policies (array of object type) 

Now, when I try using these objects in the email in a broadcast - I have used the traits as appearing in merge tags -  

1. {{ profile.traits.last_car_plan_selected.name }}, 
2. {{ profile.traits.last_car_plan_selected.premium }}, 
3. {{ profile.traits.list_car_policies.$.items.policy_start_date }} etc. 

When this email comes from Segment, the values are blank when infact these traits have specific values in user profiles. I tried using different formats of this using liquid js but it seems nothing works.