This answer states that migrating from case assignment rules to Omni-Channel is what the BA should recommend to help UC resolve a common obstacle for addressing a recent group of complaints from UC's service team about automated case assignments in Service Cloud. Case assignment rules are a feature that allows an organization to automatically assign cases to predefined queues or users based on certain criteria, such as case origin, case type, case priority, etc. Omni-Channel is a feature that allows an organization to automatically route work items (such as cases, leads, chats, etc.) to available agents based on their capacity, skills, availability, etc. Migrating from case assignment rules to Omni-Channel is what the BA should recommend to help UC resolve a common obstacle for addressing complaints about automated case assignments in Service Cloud because it helps UC to improve how cases are routed by matching them with the most qualified and available agents, rather than relying on manual intervention or predefined rules.
References:
https://trailhead.salesforce.com/en/content/learn/modules/service-cloud-agent-productivity/service-cloud-agent-p