Are survey links and embedded data tied together?

I am trying to understand how embedded data imported through a contact list is associated with the links generated when I create an email distribution based on said contact list.
I have a survey in which a number of questions depend on text piped from the embedded data imported with the contact list. I understand that if I use that contact list to distribute my survey, it will automatically generate survey links. I can then obtain those links by downloading the distribution history.
Here's the question: Will surveys taken using those links appropriately display the embedded data if I email them to the intended participants outside of the Qualtrics distribution?