Not really. Merseyrail have done their best to confuse people who don't realise that for the sake of a few pence they are receiving a far inferior product.
Merseyrail is not owned by the local community and therefore there is no benefit whatsoever in them receiving a greater share.
Merseyrail is controlled by the local community though, as it is a concession arrangement that is micromanaged by Liverpool City Region and funded by the local taxpayers.
People quite simply do not want to pay 10p more when they do not need to - almost all passengers will be simply making an off peak, day return journey from their part of the region into central Liverpool, no changes, no multiple journeys, and the prospect of using a bus or ferry would be laughable for them.
It's not good value to pay the small extra amount if you are simply never going to use it.
You even get odd situations in the TfL Oyster area where people are actually prepared to pay
more because they find something more convenient or just a nicer experience.
The vast majority of 16-25 and 26-30 Railcard holders in London do not add their discount to an Oyster card - they will just use Debit/Credit card Contactless to tap in and out because it's quicker and simpler in their view, without any of the topping up/linking auto top up etc.
It goes to show that what people consider "value" does not always hang on the price.