Hi,
you have right, to fix this replace in file /administrator/components/com_jsn/models/fields/date.php at line 106 this
$this->value
with
$value
so line become:
return '<div'.$date_weekstart.' data-date-viewmode="'.$this->element['viewmode'].'" data-date-format="'.$format.'" data-date="'.$value.'" id="wrapper'.$this->id.'" class="input-prepend date bsdate">'.($readonly ? '' : '<span class="btn btn-success"><i class="jsn-icon jsn-icon-calendar"></i></span><span class="btn btn-danger"><i class="jsn-icon jsn-icon-remove jsndateremove"></i></span>').'<input type="text" readonly="readonly" value="'.$value.'" placeholder="'.JText::_($this->element['hint']).'"/>'.parent::getInput().'</div>';
We will fix this in next release, thanks for report it