Hi, I just had a student intern at a very good independent publishing house ask to see a full ms. How much does her input count in the editors' consideration/acceptance of my book?Zero.
Sometimes we like our interns. Sometimes we like them a lot. Every once in a while we'd strongly like to hire them, but even then they've got years of editorial work ahead of them before they're ready to make acquisition decisions themselves.
So if they reallyreally want us to read a manuscript they found, we will (but maybe not today. Or this week. And if it gets a bit buried it may be a month or two).
Interns are not automatically esteemed, and they shouldn't expect to be. The point of an internship is that they get the opportunity to make a great impression on the people they might work with, and may become esteemed through performance.
Maybe the editor who reads it (eventually) will love it. If so, she'll be the one to argue for the acquisition. And if so, then the intern will have earned several points for choosing something that house might like to publish. Generally we're just looking for interns who will only pass us hypothetically publishable manuscripts, instead of every vaguely cute thing with no hook at all.