The core assessment
Fitness and propriety is usually framed around honesty, integrity and reputation, competence and capability, and financial soundness. In practice, firms need evidence for each of those categories.
Evidence to connect
Useful evidence includes regulatory register status, qualifications, CPD, references, adverse media, directorships, insolvency records, conflicts, and any relevant conduct history.
What good looks like
Good SMCR tooling should produce an audit trail. It should show sources, dates checked, findings, context, decisions, reviewer identity, and next review date.