That's complete bollocks - pereimeter fences and pens were introduced in grounds in the late 70s, the Juve fans died because Heysel was a decrepit stadium falling to bits (charges from one end to the other were not unique to Liverpool fans back in 70s/80s, never normally ended in death (not defending it, just pointing out that Heysel happened because a wall in a elderly stadium collapsed, not solely because of the charge itself).
Hillsborough had NOTHING to do with fans 'storming the turnstiles', that's a complete lie. You can see the footage of the fans walking in when the exit gate was opened online. Hillsborough had nothing to do with standing per se either - it was lack of flitering of the crowd by police in the entrance to ridiculously small Leppings Lane concourse where the turnstiles were, way too few turnstiles at that end (i think around 12 for 24000 fans!), complete lack of monitoring of how many fans were in each pen, no signposting in the stadium to the entrances to the side turnstiles so all fans saw was one big sign saying STANDING leading to pens 3 and 4, no police or stewards directing fans to the side the turnstiles when the exit gate was open - even though the police admitted they could clearly see pens 3 and 4 were full before the gate was opened -, nowhere near enough exit gates in the fences, and then the police failing to react and open the gates that were there in the perimeter fence when fans were shouting out they were getting crushed and people were dying.
It was a police fck up from start to finish - which is why they went to such lengths to cover it up. It should have no impact on arguments about standing, which i'd imagine/hope most fans (including Liverpool fans) would know. And it had nothing to do with Liverpool fans being drunk, or conspiring to get in, or any of that crap. Read the Hillsborough Panel Report, its all there.