Judging by the graph on the linked page, the UK's rail network is mostly safer due to a lower number of workplace accidents. A cynic might suggest that that's correlated with a lack of maintenance :-).However I do also believe that the UK takes workplace accidents more serious than some other European countries.
Getting passenger fatalities down is mainly achieved by not letting your trains crash, and keeping an eye on the platform-train interface. Copious announcements about how to safely walk around a railway station probably only make a minor difference.
It's clearly working, because the British railway network is the safest large network in Europe, despite some pretty dilapidated infrastructure.
https://international-railway-safety-council.com/safety-stat...