Apple have often been confused regarding the 3yr warranty, even when you ask live chat previously they normally say you have to pay for Apple Care. Not saying they haven't removed it this time, but previously it has looked like you are only getting 1yr unless you pay for Apple Care and then they email you about the 3yr warranty extension about a month or so after purchase.
The chat agent specifically said to me that it was the case previously and that "this has recently changed" and that yes the higher education agreement no longer entitles UK uni students to 3 years at no cost, but has been replaced with the discounted AppleCare for £99. Unfortunate if this is a permanent change.