In order to allow PDF signing, please try using the following code snippet. For your reference, I have attached the resultant PDF generated over my end and also the image file showing properties of PDF document.
[C#]
//create DocumentPrivileges object
DocumentPrivilege privilege = DocumentPrivilege.FillIn;
// allow existing form fields filling
// and signing existing Signature fields
privilege.ChangeAllowLevel = 2;
//open PDF document
PdfFileSecurity fileSecurity = new PdfFileSecurity();
// bind source PDF file
fileSecurity.BindPdf("c:/pdftest/test_template.signed.pdf");
//set document privileges
fileSecurity.SetPrivilege(privilege);
// save PDF file with new privileges
fileSecurity.Save("c:/pdftest/test_template.signed_Allowed.pdf");