If you try using Minecraft Bedrock Edition with a supported controller there are menu options to reduce the vertical (up & down) camera tilt speed as a separate value. This is useful because many players including myself find having fast horizontal (left & right) camera pan speed useful during gameplay, while a slower, finer control with the vertical axis feels more natural.

Added in 1.3.0

Couldn't you just change the right Y- and X-axis maximum values in Controler Options to achieve this effect?

@Motschen I found that method was limiting and confusing to setup. Determined, I have code changes in my PR. If you have the ability to do so please review and let me know what you think.