How unstable could local politics become when an elected council becomes hung?

If party politicians join independents on the cross-bench, would developments wanted by the public be more or less likely to be approved?

‘Presumed Dead’ is a novel by Martin Knox set in a fictional council chamber within the Westminster system. Corruption at the big end of town is suspected when Jane Kenwood, a feisty councillor, disappears.

http://www.martinknox.wordpress.com