You're joking?
Cole is clear the Templars connected with SOMETHING.
not magic but...something.
They are normal people and yet...not.
K..
''They feel older than they look. They've been changed, and their bodies are incomplete now. The lyrium helps, but their bodies always want to connect to something older, bigger than they are.''
The templars have been changed because they have been brought closer to the fade, closer than mundanes are. Now they feel like they want to feel the fade like the mages do, but they cannot, since it is not their natural state. The lyrium helps them feel closer to the fade. And the fade is old and big.
''That's why they block magic. They reach for that other thing and magic has no room to come in.''
They are more mundane than a mage, and the magic cannot be a part of them.
Brainstorm away on your own interpretation.