I tend to think giving exposure of your product to students is valuable, but that lifelong "student email accounts" probably go some way to breaking this.
There are websites where people will share student deals and how to get a valid student email by enrolling in the cheapest possible distance learning course, to avail themselves of the deal.
The question for the HN audience is if these users are more or less valuable? They're willing to pay less, or seek a "discount" or "bargain", but likely also sharing your name and raising awareness of it. Will they be more likely than most to share the product with others because they got a "discount", and then the others will end up just paying full price as they don't want to jump through hoops and spend hours doing it?