Thank you for the Council breakdown, but as you say "nice try."

1.  Conservatives in London (metropolitan, not City of) are very liberal.  There would be no expectation at all that a Conservative member would have voted to  cut housing and social services in K&C.
2.  Net spending on Housing 2016/17 to 2016/17 has increased in the Burrough (based on budget) from £15,152,000 to £16,886,000.  (Check it out on the Council Website)
3.  You have not provided anything to back up your assertion that Conservatives voted to decrease funding for housing; you are just towing the liberal party line that says conservatives vote to defund, but clearly as the budget numbers above state, funding is going up.

Check your facts and check your privilege my friend!