Yep the suburbs are a money-loser for governments as noted in https://www.youtube.com/watch?v=7Nw6qyyrTeI
It’s more reasonable to measure where taxes are coming from by some combination of where people live and where they work. If you do this then suburbs are not tax sinks. This isn’t saying you change how you distribute tax revenue it’s only saying you change how you measure where it comes from.