No they are not bad at all. You need to look at the (machine) code produced by the compiler to make this determination, sometimes it is far far worse to use a local than a global. Also note that putting "static" on a local variable is basically making it a global (and creates other ugly problems that a real global would solve). "local globals" are particularly bad.
Globals give you clean control over your memory usage as well, something far more difficult to do with locals. These days that only matters in embedded environments where memory is quite limited. Something to know before you assume that embedded is the same as other environments and assume the programming rules are the same across the board.
It is good that you question the rules being taught, most of them are not for the reasons you are being told. The most important lesson though is not that this is a rule to carry with you forever, but this is a rule required to honor in order to pass this class and move forward. In life you will find that for company XYZ you will have other programming rules that you in the end will have to honor in order to keep getting a paycheck. In both situations you can argue the rule, but I think you will have far better luck at a job than at school. You are just another of many students, your seat will be replaced soon, the professors wont, at a job you are one of a small team of players that have to see this product to the end and in that environment the rules developed are for the benefit of the team members as well as the product and the company, so if everyone is like minded or if for the particular product there is good engineering reason to violate something you learned in college or some book on generic programming, then sell your idea to the team and write it down as a valid if not the preferred method. Everything is fair game in the real world.
If you follow all of the programming rules taught to you in school or books your programming career will be extremely limited. You can likely survive and have a fruitful career, but the breadth and width of the environments available to you will be extremely limited. If you know how and why the rule is there and can defend it, thats good, if you only reason is "because my teacher said so", well thats not so good.
Note that topics like this are often argued in the workplace and will continue to be, as compilers and processors (and languages) evolve so do these kinds of rules and without defending your position and possibly being taught a lesson by someone with another opinion you wont move forward.
In the mean time, then just do whatever the one that speaks the loudest or carries the biggest stick says (until such a time as you are the one that yells the loudest and carries the biggest stick).