Several thousand trains a day use third rail in England, with journeys up to 130 miles perfectly safely day after day, year after year.
It is an economical, safe,system for passengers trains up to 90 mph. But not practical for heavy freight trains.
25kv wires down are highly disruptive & not rare events.
Displaced conductor rails are very rare & do not cause wholesale network cancellation.
Network Rail have admitted that their stats, which led them to claiming a few years ago that third rail was eight times more dangerous than overhead ac, are unreliable.
And that eight times figure was a subjective weighted index which gave undue weight to injuries, even minor ones like a sprained foot from tripping on a third rail. All contact with AC leads to death. Contact with DC is often survivable. So unfair to assessment of third rail.
The network rail stats are not reliable enough to judge. They have been told to reassess the issue.
If the Uckfield line/Rye lines were third railed then it would be prudent to replace foot crossings with bridges.
But that would probably be done with 25kv electrification too, or if quiet battery power units were introduced.
The end of third rails could be terminated in yellow insulation.
Versus 25 Kv, for non 110 mph lines & heavy freight, tried & tested third rail is far cheaper to build, cheap to run & probably as safe. And it is fast to build. We need more electrification now.