> wrong names are rejected
How isn't it? Unless you're saying 'there is really no reason to participate in e-commerce', which is... true I suppose...
None of my e-commerce involves bank transfers. I would decline it as a payment method. I have no idea why anyone would be doing this.
Here in Germany I linked my bank account to Amazon, PayPal, local mobility service providers, etc.
Maybe 90% of my online transactions are bank transfers, 10% are debit card transfers.
Anyway, in the UK billing name & postcode are/can be verified on card payments.
Bank transfers no basically never happen, too manual; exception being something like (Transfer)Wise - you set it up online, then transfer to their account in local currency, they transfer out of their account in another country to your intended recipient account in that local currency.
Direct Debits are a common ~'bank transfer' but recurring way of paying for utilities & subscriptions here though. Can (and these days normally would) be set up online.