Just because you will be working full-time doesn’t mean you won’t be wasting time. The free time that you spend getting the degrees could be spent doing pretty much anything else. (And the money is a considerable amount, too.)
Why is it that you think you need a prestigious degree - or another degree at all - when you already have a PharmD and haven’t even finished the MBA you are currently in? Have you even tried to find a job with the MBA + PharmD? I should think that an MBA plus a PharmD should be enough to start exploring within healthcare administration. What kind of access do you think another degree - either the MHS at JHU or the engineering degree from Cornell - will give you that you don’t already have?
If you want a job in healthcare administration, an MPH program is probably the better bet. A school of public health is going to have a lot more connections in the healthcare/public health industry, and JHU is the #1 school in the field with lots of alumni and professors connected to the right companies/agencies.
You seem to have this idea that ‘uniqueness’ is what gets you a job/makes you competitive, but it isn’t - not on its own, anyway. What gets you the job is having the skills and education that you need to do the job as advertised. For example, if you wanted to be an epidemiologist, it wouldn’t matter that you were the only applicant with an engineering degree in a sea of MPHs in epidemiology…the MPHs probably have the preparation and experience necessary to do the job, so unless your engineering degree was a really special one it wouldn’t necessarily make you competitive.
Similarly, if you’re applying for healthcare administration jobs that are looking for people with health backgrounds/degrees and prefer MHS then having an engineering degree isn’t going to make you stand out in a good way. The ‘uniqueness’ will only matter if you are applying for jobs that would require or prefer someone with both a PharmD and an engineering degree.
Also, in the work world nobody really cares about “the Ivy brand.” They do care about the prestige/reputation of degrees in some fields, but that’s going to be relative prestige within specific fields. The fact that the school is an “Ivy” isn’t in and of itself important. In health, JHU has way more prestige and influence than Cornell.