If you plan to sell your service as an engineer or an employee of an engineering firm you might find a PE license to be of some benefit or possibly mandatory. The EIT is one step toward the PE license. Having the EIT credential is more of a statement that you intend to get your PE - and it is some measure of your abilities.
I worked for years inside large industrial corporations as an engineer. Now and then a PE was required to work on things like emissions permits or licenses but otherwise there was no requirement for engineers to be licensed. In this situation the management may see the PE as just one more credential - or they may ignore it.
Sometimes the public and government authorities have a look inside the corporate engineering offices while investigating violations or other similar things. They'll often exclaim that there are few 'qualified' engineers on staff even though there are a hundred well educated and experienced engineers. In their eyes an engineer is not 'qualified' without the PE. The management of the corporation does not agree that the PE is a qualifier. Usually in these situations the engineering tasks are complex and unique where education, training and proven track record are better indicators of abilities.
My personal situation - my IQ, personality, education, training, job experience and hobbies all contribute to my skills and knowledge base. My preparation for the EIT an PE exams was limited to understanding the exam format and of course, filling out the forms and driving to the test site. The resulting scores were on the high end. I cannot claim to know any more or be able to do anything better as a result of having my PE. Most of the skills set that I had to apply in taking the tests were fairly basic but fairly broad. I'd argue that it would take an engineering graduate a good solid 5 to 10 years on the job where engineering is most of the job, to really have a strong, basic and broad skills set nailed down. Some, but very few, come out of school this way. If your daily tasks as an engineer aren't really so much engineering then it would seem that some work on the side is necessary. In the end I think the qualifications demonstrated by achieving the PE level suggest that you'll be likely to understand the situations as well as understand your capabilities so you don't tackle something where you lack skill or expertise.
Like any credential, it seems that more credentials are better than less. It doesn't hurt to have them and may hurt to be without. If you feel that your career for the next 5 to 10 years will be engineering I'd suggest that you work at the qualifications, skills and knowledge that are most important to the job(s) that you have. If the kind of job that you want requires a PE then by all means you ought to focus on that. You might find that with some modest effort, beyond that required for the job, that you can get your PE. Obviously if your career path demands it then put all the effort you can muster into getting there. As with other things in life you need to balance cost with benefit. I'd argue that in this case, if the cost is relatively low then just do it. It may open some doors for you later in life. In my own case the cost was low, I have it and it allows me some flexibility. If I did not have the PE it would not have limited me however the lack of it might have limited me had I chosen a different career path.
Pardon the babble but I wanted to give you some stuff to think about.