As per the link given by you to the extension
there is a code in invoice-to-pdf-1.21.154.xml
if ($pdf){
$this->response->setOutput(pdf($this->render(),$this->data['orders']));
}else{
$this->response->setOutput($this->render());
}
replace it with
if ($pdf){
$this->template = 'sale/order_invoice_for_pdf.tpl';
$this->response->setOutput(pdf($this->render(),$this->data['orders']));
}else{
$this->template = 'sale/order_invoice.tpl';
$this->response->setOutput($this->render());
}
now you can have two separate tpl order_invoice_for_pdf.tpl
and order_invoice.tpl
for different purposes