“worth more” is very individual. Cockrell is very highly ranked engineering school, so you are choosing between two top tier programs.
What is the value of the difference in cost: does it mean loans for you / your family? does it affect your parent’s ability to retire?
Is there something specific about the JHU program that you are particularly interested in?
Or, is this a classic ‘girl/boy next door vs the siren call of the famous name’ situation?
tl;dr- to me, you have a superb option that you like, so no, spending more just to impress the neighbors is not worth it