The big difference between internal and external consulting is business development. To get into external consulting, you'll need to show you can proactively sell professional services (at a profit), create demand, etc.Typically, in internal consulting you deliver the work you are given and the scope/tasks are defined for you. In external consulting, you do all this delivery, but that's only half the job. The other half of your time is spent in identifying these needs, selling the work, scoping and structuring the project, etc.So, in short, most recruiters and hiring managers will not consider the experience as highly unless they are hiring to a junior/associate position where only straight delivery is expected. Similar to most recruitment situations, recruiters are looking for evidence of having "done it before", in the same industry/function, etc.