It's a shame the CTO was patronizing. I've generally found this to be the attitude of many IT workers in similar positions. I would recommend trying to allocate (work) time to prototype and get important back of the envelope metrics that
they think are valuable along with those that you think are valuable.
At least that's what I would ask of anyone who was trying to improve a system (And not just the developers circumstance which I think is perhaps what they CTO is cautious of)