Isn't the root cause of these instances the usual one - RTT accurately reflecting the content of its feeds?
Or perhaps there's a suggestion that feeds could be refreshed more frequently, or even in real-time (eg utilising an API)? But that may raise questions about feed availability and costs - for generating and applying more frequent feeds, and/or creating a real-time interface for VSTP/CAN changes, and whatever else may be required.
RTT does take a real-time feed of VSTP changes and on-the-day cancellations, same as Traksy and OTT. The main timetable information from Network Rail however comes in the form of a daily update. All of that used to be a viable plan in a world of operators who attempted to plan a timetable in advance and actually run, taking responsibility for cancelling trains on the day when they found they had to do it.
Unfortunately on the modern railway some of the operators have moved to model of running basically whatever they like whenever they feel like it. They advertise a timetable in advance, then cancel a bunch of trains the night or week before and reinstate them if a driver shows up, or randomly add VSTPs with different headcodes from the original service, often running a slightly different timetable. As a result, trying to provide coherent real-time timetable information based on the Network Rail feel is increasingly impossible for some operators.
The operators themselves provide a feed via National Rail which is kept up to date real-time with roughly what is actually happening (this is the feed which populates station screens, so it's treated reasonably seriously). The problem with this feed is that it's purely passenger-focused, and while it comes with all the relevant information there are restrictions on its use. The most obvious of those for RTT is that you can't show platform numbers until they are visible on the station screens.
Arguably it would be possible to combine the various feeds to provide a more definitive view of what is going on with passenger trains from the National Rail feed, combined with freight and "operational info" like early platform numbers from other feeds, but that would be hugely complex from a technical and possibly legal point of view. For experienced users it's probably better to combine use of RTT with one of the other sites which takes its data feed from National Rail.