Coralogix Remote Query and Datadog Flex Logs offer distinctive approaches to log management, with Coralogix being significantly more cost-effective and flexible than Datadog. Coralogix's unified cost per GB is calculated at $0.22 per year, which is 70% less than Datadog's cost of $0.70 per GB per year, even without considering Datadog’s unknown compute costs. Coralogix allows users to hold data in their own cloud accounts, avoiding vendor lock-in, whereas Datadog retains data in a proprietary format, posing potential lock-in issues. Moreover, Coralogix offers more features like LiveTail and anomaly detection without additional costs, making it a preferable choice for organizations aiming for cost-effective and scalable log management solutions.