Edinburgh Economics Application Watch
Given that you're an EU student, you do get put into the EU bucket for the purpose of admissions. The university can only accept so many Scottish / EU students per year because of Scottish funding regulations. Looking at the Economics programme, the offer rate for Home/EU is 20%, and for RUK is 76%. (https://www.ed.ac.uk/student-recruit...ons-statistics).
That's your situation, basically. However, it's not worth it to stress about whether or not that will mean you'll get in, because it's not going to be possible to change your classification for fee purposes.