However more of them will have been wealthy or well connected prior to attending Harvard.
In Hogwarts terms, Harvard is Slythryn with a few Ravenclaws sprinkled in for the occasional prize winning research.
It is extremely rare to encounter a Harvard graduate who does not let you know with absolute certainty that they attended Harvard (often described humbly as "Boston").
Harvard is a professional signaling course for those already better than most at signaling.
(I didn't get in)
Does it make you a better inventor? The labs are better resourced than most, so maybe.
Does it get you a higher paying job? Heck yes, in addition to generally better networking opportunities, there is an Office of Career Services that will not only hook you up directly with employers looking for Harvard grads, but will continue to do so through your whole career.