Digital Agency and Creative Agency
A consultancy can provide services that cover a wide range of design and digital services. So in a sense, “creative agencies” is an umbrella term.
But when someone mentions that they use it for their company's needs, they're likely saying that they're going with a company that specializes in a particular digital space rather than a company with a more diverse list of services. This does not mean that a client will be limited to using a digital agency, it all just depends on what that client's needs are.
For example, if they need in-depth digital services like search engine optimization (SEO) or social media marketing, it might be the way to go.