The electrical storms we've had of recent are nothing compared to what they used to be, so a comparison isn't really available.
The last really big one was years (10+) when three storm systems merged to make a "super cell" and that went on for hours & hours. I can't remember a decent storm &/or it lasting for a reasonably long time (>2 hrs) in recent years.
Every one of the signalboxes listed has been around for at least 14 years, and in some cases well past 30.
Slightly OT, but lightning protection is SO much better for big boxes than small ones. I once had a signaller struck by lightning conducted through rails and point rodding, which subsequently closed a regional line for several hours while he was seen to and the equipment repaired. ROCs are just not going to be knocked out by lightning, in the same way as air traffic control or national grid control isn't. In 20 years of the railway I have never known a computer based interlocking in a major signalling centre knocked out by lightning.
The ground equipment might, but that will be localised to the area of the lightning strike. It doesn't matter whether it is controlled by a ROC or one man in a shed, the effect is the same.
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So what's the benefit of the TMS stuff then?
I can't see it allowing a signaller who's got the gonads to regulate the service off the top of his head to do so & avoid causing delays which will increase at an exponential rate, if they don't.
Full TM is a completely different concept to signalling as we know it today. At it's basic level, today, signallers manage space, and regulate trains to avoid conflicts. (Obviously there's much more than this).
TM manages the space for you, allowing signallers to manage the timetable. Even better, TM proposes how might manage the timetable to minimise delay by detecting and resolving conflicts in the future.
A good by product is that the train graphing can predict delay where trains catch each other up, or where a late inbound train will then form a late outbound train, and this can feed directly to CIS automatically. (Customers waiting for trains home at Waterloo East will particularly welcome this feature).
It's nothing new in this country, HS1 has been running a simplified version of TM for 11 years, albeit without conflict resolution operating.