For me, looking at the seat reservations feels a bit like trying to monitor wild animals by analysing their droppings. A good idea in theory but easy to over-rely on some data.
People are less likely to reserve seats for short everyday journeys (e.g. Warrington to Manchester/ Liverpool) and significantly more likely to reserve seats for rare longer distance journeys *(e.g. all the way through to Norwich).
(there's also the issue that a significant number of seat reservations are never used, since they are given away for free, there's no reason not to take one)
The competition is primarily the car, yes, but competition within the railway is important to keep fares reasonable and to thereby ensure that the railway stays a reasonable competition to the car
Arguments about competition always need to be seen in the context of similar arguments about reliability/disruptions/ co-ordination etc.
Having three different TOCs running through the Hope Valley might be great for people buying cheaper tickets but it also means that there's less incentive for TOCs to co-ordinate services (e.g. the two "fast" services leave Piccadilly at xx19 and xx42 rather than a straight half-hourly service), there's less resilience in terms of being able to cope with disruption (compared to one TOC running all fast services with doubled up 185s, when a delayed/truncated service can bounce back into service much easier), it's more confusion for passengers.
Compare and contrast Hope Valley with the TPE route through Marsden - there you currently have co-ordinated services, you have better stock utilisation (e.g. a westbound service from Newcastle may become an eastbound service to Middlesbrough), you have staff able to work different departures, so the line can cope with disruption.
Meanwhile, with the Hope Valley line, there's not much of a "Plan-B" when the EMT service is delayed/disrupted.
People on here seem to love "resilience" when it's an excuse for re-opening some backwater line (that might be handy for diversions a couple of weekends a year) but less bothered about resilience on current lines.