Does it matter if I do EE or ECE

Some schools offer electrical engineering and computer engineering as separate majors, while others have them combined in ECE. I am interested in applying to schools with ECE, as it seems to be broader and offers a mix of hardware and software (however I don't want to do CE or CS due to the job market). Is there a meaningful difference between EE and ECE in terms of education and job outcome, or is it just a naming difference?