In a legal sense - yes it totally matters.
From a public perception thing.. i don't think it does so much. The public cares that someone died or was injured, and that someone screwed up and was held accountable.
The only reason the ride got demolished was it wasn't financially viable to repair or upgrade to current standards. Due to its age, and the way it was developed and installed it would have cost a fortune to upgrade, so more cost effective to scrap.
Take the Green Lantern accident for example - how close did that come to being a fatality? Do you think the general public even realises? Does it stop anyone riding it now?
Think how many people ride the Smiler every day at Alton Towers? In some ways you could argue permanent injuries like what was suffered on that, are worse from a public opinion aspect than a death. When there's a death, there's some sadness, but the persons no longer around to make a fuss. When people lost limbs, but lived, everything they do becomes a news story.