Pocket money is a term from when nearly literally everything was paid for in cash. You used to have to go into the bank to get cash, or take it out of your little brown wages envelope.
First came cheque books, then card payments, so you didn’t always have to pay cash. Then came ATMs, so you could get cash when the bank wasn't open. Now there are lots of ways of paying online, with banking apps, Paypal, still cards (and rarely, still cheques) without ever handling actual cash.
There are still couples where one or other of them controls all the money, else we'd not have developed the term financial abuse. I've met some people who have been happy yo wash their hands of the responsibility of bills, which makes them vulnerable, but it is a choice some make. There are couples where there is only one income, and that can mean the other gets an allowance for personal spending (on top of household expenses etc.) Again, it puts them into a vulnerable position.
But generally, pocket money is an anachronistic term.