This is a bit like the stuff you get about how the worries about "the Millennium Bug" must necessarily have been nonsense because the worst predictions didn't happen. Ignoring the possibility that the precautions against them happening might have actually had some effect.
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The memory of the 2000 election, and the way that the count in Florida was disrupted by a partisan mob intent on preventing a recount that threatened the result they wished to see, has inevitably left a very nasty taste in a lot of people's mouths.

If something similar happened in England or in Germany in a way that undermined people's trust in the electoral process I think it would leave people feeling similarly distrustful and suspicious for a longtime.

The worrying thing is the way that concerns about electoral procedures being open to possible fraud, and attacks on these concerns as well, seem to be expressed so often in purely partisan terms. Any society where most people do actually see partisan differences as the most important issue when it comes to these kind of issues is in serious trouble.