My pet peeve when downloading articles from journals is that it is a chain of needless HTTP redirects and elaborate cookies. If you are accessing the network from an approved IP address, is all that really necessary? Why can't it be a simple direct download? Answer: Because they've commercialized the process of reading publicly-funded research results. And with that comes the usual mindless hoop-jumping for even the simplest things.
Many investigators will just post a copy on their lab's website anyway. And that's the link that they will often give to students who need a copy of the paper. So the whole scheme of commercializing the publishing of noncommercial research just looks silly.
Don't question it, just follow along.
Even Nature, one of the most awesome-est journals in the world, demands certain restrictions, like not publishing in another journal. They don't want to do all the work of vetting the article only to find out that it's also in Joe's Fishing And Particle Physics Papers.
Peer review is important. It will not stop being important, but unfortunately the service of peer review is currently only being offered by mostly for-profit organizations, which is the primary problem.