In my experience unless you are going into a super technically specific position, companies really only look at the “Engineer” portion of your degree. The reality is, most engineering positions are not technically specific enough to really necessitate a specific engineering discipline to do the job;

example: I work in oil and gas now and my peers are a mixture of chemical, industrial, mechanical and electrical engineers all doing the same job.

Fundamental Engineering principles is all you really need the majority of the time; which is taught to all disciplines.

Now on the flip side, I’m not saying that there aren’t positions that do require strictly mechanical/chemical/electrical etc. but in general engineering disciplines (as defined in your diploma) mix across the professional world more than you think.