We are directly ordered to kill Amalek (once the chance presents itself) so that 'the name of Amalek not be mentioned even with reference to an animal by saying "This animal belonged to Amalek" '. What about Amalek's accomplices? About Amaleks friends? People who unbeknowingly take Amaleks side, not knowing the true nature of things?
To clarify the question: The accomplices of Amalek are NOT descendants from Amalek, in fact they are from an entirely different nation.