It would require some serious calculation as probably schools would need to purchase the required hardware thus doing exactly the opposite of what Storj normally recommends.
So it must be looked at how such a partnership could be valuable for both sides.
Schools could benefit from an interesting project, teaching students about Linux, cryptocurrencies, internet, decentralization. And they could even earn some bucks from the Storj token. But in general it could be a lot of fun. A node is a bit like a digital version of a pet. But even better, as you can potentially earn from them and don’t have to clean up after them. 
For Storj it depends to what extend such a partnership could be carried out. They could donate hardware like Odroids to interested schools. There would be more nodes available (Such a project could be used to bring nodes in areas where there not many nodes yet). And such a public private partnership could of course bring a lot of positive media attention.