I would not move just for the money if everything else is better at Monitor Deloitte.
One of the most relevant differentiators between consulting companies is exit opportunities as many people stay 2-3 years then leave. You should be able to easily check exits from MD and EYP in your desired field on LinkedIn.
If you see that opportunities at EYP may be equivalent or better and with a higher salary, and there are no other minus, I would go for the interview. It doesn’t mean you should accept the offer if you get it. You could use the interview as well to clarify your doubts on the key things relevant to you (culture, learning opportunities, types of projects, etc).
Hope this helps,