My argument is to balance your interest with career demand. The "Do what you love" advice for college majors creates the same career problems that today's crop of RJ drivers have. To me, EE is so varied that you can focus it to where your interest is while still having a hedge if the aerospace industry falls on its face (like...say...the early 1990s). There were some aspects of EE that I still think are insane, but I got through those. At the same time, the controls classes just aren't that different than the controls classes the MEs and Aeros take. If you know that you'll generically be an engineer, but aren't sure which path to follow, consider EE.
Weird, because I've never met an engineering student that wasn't sure of which path they wanted to take. No doubt there are some out there, but most of us chose a particular engineering discipline due to a particular interest. For me, I was very mechanically inclined and loved working on cars and motorycles. My ME roommate was much the same. My EE roommate loved building computers and coding, thus EE was a natural interest to him. My civil engineering friend loved architecture, so civil was a natural pursuit for him, etc.
You mention career problems for engineering students pursuing the engineering discipline that most interests them, which makes me kind of scratch my head. Once an engineering grad has some some work experience, finding gainful employment isn't exactly difficult unless they are only willing to live in Missoula or something. As far as variation, there is plenty of that with ME. When I was still working as an engineer, I was working in stress analysis for aerospace applications, while my former ME roommate was working in the power generation industry. Another ME friend is at Ford and develops the transmission programs... Much of his day is spent coding and obviously spends a lot of time working with feedback systems. Heck, when I was an intern at a medical device manufacturer, I spent several years coding, testing, machining prototypes, and writing reports. For you to say that an Electrical Engineering degree is the be all end all of engineering degrees is just... Well it really isn't true at all.
Getting back to my earlier comment about doing what you love with engineering - Pursuing an engineering degree is a very difficult undertaking. Unlike a lot of liberal arts degrees, it involves four or more years of busting your ass. Where I went to school (Colorado School of Mines), it also involved a summer of "Field Session". If one did not actually have a passion for and enjoy what they were studying, it would be an absolutely miserable undertaking. Focusing on an engineering discipline that is of interest is absolutely nothing like what the "RJ drivers" of today face. As an over-educated RJ driver, I know this all too well. That being said, if somebody was considering a very specific aerospace engineering degree, I would strongly encourage them to instead pursue a ME degree with a focus on aerospace via electives or a minor.