I'm in favour of CC.
It works in London (and a lot of other places).
It may be (partly) true that 'it favours the rich and penalises the poor', but that is not really a good argument. The really poor can't afford cars anyway!
I was against Edinburgh's last plan, partly on the details, but a lot to do (sadly) with my lack of faith in CEC's ability to deliver. Perhaps more due to the improbability of 'citizens voting for it'.
London (I think in Ken Livingston's time) wasn't forced to have a referendum like in Scotland (Jack McConnell?).
So it's completely reasonable that Andrew Burns doesn't want the hassle!
It's also important that CEC's Local Transport Strategy is fit for purpose and implemented 'properly'!