Healthcare-associated infections (HAIs) represent a critical public health challenge in the European Union, causing approximately 37,000 deaths and €7 billion in economic burden annually. Despite existing hygiene protocols, compliance verification remains inadequate due to reliance on manual auditing, which suffers from sampling bias (~5% coverage), temporal delays (quarterly inspections), and susceptibility to manipulation. This paper presents a novel approach applying Byzantine Fault Tolerance (BFT) principles to real-time hygiene monitoring systems. Drawing on 30 years of field experience in facilities management across diverse operational environments, we demonstrate that a 5-layer evidence architecture achieving Byzantine consensus (n ≥ 3f + 1, where n=5, f=1) can provide manipulation-resistant verification with accuracy exceeding 87-92% - surpassing human auditor performance (75-85%). Field observations from 1000+ operational sites over three decades reveal critical control points and manipulation patterns that inform algorithmic design. Preliminary modeling suggests this approach could reduce HAI incidence by 40-60%, potentially preventing 15,000-22,000 deaths annually in the EU.