These are my personal opinions based on my background and training experience.
To quote directly from their site:
SpecterOps has unique insight into the cyber adversary mindset and brings the highest caliber, most experienced resources to assess your organizations defenses, shut down attack paths, and increase your security posture and resilience.
Blue teams often struggle to keep pace with technology changes and adversaries' determination to bypass the latest controls. SpecterOps is committed to keeping current in the adversary’s Tactics, Techniques and Procedures (TTPs), and focusing how to both simulate and detect their activities. We share our operational knowledge and lessons learned in the field with your team to hone their skill sets, their efficiency, and ultimately better secure your business.
Visit their website at https://specterops.io/how-we-help/training-offerings for more information.