I agree with those who say that something similar is going to happen, at some point in the next few years.
My Dad used to go pretty regularly to Ayresome, Roker and St James' Parks. He had pretty sketchy experiences at all of them during the mid eighties. A couple of fans (away, I think) died at Boro when a wall just outside the ground collapsed on them.Middlesbrough - Man U was the fixture I believe. Dad knew nothing about it, until he got home to find my Mam frantic with worry. He's got plenty of non-fatal - but only mercifully so - incidents at other grounds.
At some point, there's going to be a big death toll. Maybe less than 96, maybe even more. Might be Parkhead, or White Hart Lane, or Villa Park, for all I know, but it'll happen. The stadia were crumbling, some of the police thought they were going to the grounds for a barney, and some of the fans were more than willing to oblige. Something is going to slip, and people will die.
The likely result is something like the Taylor Report. The big difference is how the Plods react. If they attempt a cover-up, assisted by lazy journalists, then Birmingham might be a Mirror free zone, or the Sun may be missing from every newsagent in Norwich. On the other hand, the appropriate force may play a straight bat. Or, the press could do their jobs, and realise it was bullshit. Then the poor suffering families may get a bit of closure far earlier, and some of the vile slurs on the fans would never see the light of day.
In terms of football, Liverpool would be much stronger, without Kenny having what essentially amounted to a breakdown. A title or two in the 90s, almost certainly. Blackburn, by contrast, likely don't have their 94-95 run. Beyond those absolutes, plenty more potentials, but it gets increasingly speculative.