To download contact information from a Linq page, the other person must physically save the contact into their phone.
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For the iPhone, the other person must manually press "Create a new contact" to start saving. Here's the complete process:

1) Press the Save Contact button on your page

2) A preview of your contact shows on their phone

3) Scroll down to see "Create a New Contact."

4) They physically save the contact into their phone

For Android, the contact will immediately download to the phone's contacts or download as a file. When it downloads as a file, it will show it at the top, where the user can click it and tell the phone which account to save it under. This happens for people with multiple Gmail accounts logged in on an Android.