O.k. so it turned out the problem was that the radio inputs did not have a unique enough name.
As soon as I did this:
<div><input id="{{_id}}_undefined" type="radio" name="{{_id}}_accepted" {{undecided}}>No Determination</div>
<div><input id="{{_id}}_true" type="radio" name="{{_id}}_accepted" value="true" {{accepted}}>Assign To Researchers</div>
<div><input id="{{_id}}_false" type="radio" name="{{_id}}_accepted" value="false" {{declined}}>Decline</div>
Life was good