It’s important to stress that anyone who offers to link their savings to your mortgage with offset plus won’t actually get any financial benefit from the arrangement.
The incentive for the saver is that they are helping you by increasing the offsetting benefit, without giving away their money.
As the saver won’t earn any interest on their savings they won’t pay any tax on them. In this way, the offsetting benefit received by the borrower is greater than the benefit a taxpaying saver would have received if they had put their savings into a typical savings account.
They also have total control over their savings at all times and can deposit into, withdraw from or close the account as they wish - although you’ll get more benefit if the savings balance remains constant or increases. You don’t get any access to their accounts - the monies are in totally separate accounts, they are simply linked to your mortgage.