But there are faults and incidents, and therefore out of course running ,and therefor red signals.
And there will continue to be faults and incidents, resulting in delays and out of course running. The problem being that it’s extremely hard to predict and therefore plan in advance for the almost infinite number of variations of the causes of faults and incidents.
Where there is sufficient capacity, that’s the reason why there should be at least some slack in the timetable. But at the same time, having a train waiting unnecessarily is a waste of resources. So it’s a balance that someone has to decide on.
For the vast majority of the Network Rail infrastructure, it’s unlikely that the speed that a train is travelling, at 200 metres on approach to a signal at red, is going to make a significant difference compared to the other causes of delays.
If the signal is red because of faults or incidents or due to disruption due to previous faults or incidents, the root cause is those faults or incidents.
In terms of when signals step up, outside of mechanical signal boxes, in most power signal boxes and more recent signalling centres (whatever they are called), the signaller (or automatic route setting system) can route the signal as soon as the previous train has cleared the junction or points. They don’t have to wait for the previous train to have cleared that whole signal section. Once a route is set, the interlocking will then hold the signal at red and only allow it to clear when it is safe to do so. This part is then automatic, so, happens within a second of the previous train having cleared the section. No further input being needed from the signaller.
On plain line sections, or sections over little used junctions/points, the signals are often specified to be able to be set to work automatically. In this case, once this function is set, there is no further input needed from the signaller no matter how many trains go through this/these signal section(s). The interlocking clearing signals completely automatically as soon as it is safe to do so.
In my experience, when trains are disrupted, it’s the time that it takes for decisions to be made at interchange stations that causes the biggest knock on delays. For example, when it’s decided to re-platform a train. Then you have to wait for all the passengers to walk to the ‘new’ platform, only then can the train be dispatched. It’s similar when the decision is made to terminate a service short and tell the passengers to board a later train. The extra people trying to board the later (likely already late) service will further delay it.
In order to reduce failures and delays, it does mean that the railways have to stop being driven by cost cutting (all areas, be it going for cheaper, but lower quality or less reliable equipment, equipment that is harder to repair or service on site, not reducing redundant (backup) systems, cutting maintenance, reducing staff levels, attacking the T&Cs and working practices of the staff). And instead plan for and invest in both more reliable and quality equipment, and invest in the staff.
I’ll end it there, as this is drifting off topic.
The point being, the situation is often far more complex than it appears.