Most think so. Almost all EE departments have CE or CS activities. Modern products are information-intensive. Functionality can be realized in hardware, software, etc. Designers need to optimize across moving boundaries.
Research respects no boundaries.
CS ideas inform EE research and vice versa. EE and CS face the same fundamental limit. Excellent programs can exist anywhere. Public service, e.g., agricultural extension Faculty consulting, starting companies, composing operas, . . . Efficient or Creative . . .