I think it depends on the hiring manager. From my experience the hiring manager tends to hire people that have the same academic qualification as him. So if the hiring manager have an engineering degree then you will probably stand a better chance. I have even seen someone with a history degree from Stanford on the trading desk.

But yeah there are quite some of engineering degree holders in the ib I use to work for. Ib will come to the engineering faculty career fair day in universities to directly hire from there while I was studying.