where do the savings go
"I'd much rather get rid of the branches (or a significant number at least) if it reduced the cost of banking.."
Just write a cheque directly to the board and be done with it then :)
There are several places that the money saved from branch closures will end up. Paying management bonuses, dividends, political contributions and bribes etc. That it ends up either in the hands of front line staff or the customer is highly unlikely.