but shouldn't it?
Increase your sensitivity in the settings if you're turning your head too slow. If that doesn't work, then your controller might be broken and you might have to call someone to fix it or get a new one but I don't think you'll have to do that. Also I don't think this is a bug and maybe you messed up the settings in minecraft and you may have to fix them.
Found a similar issue, posted it, marked as working as intended, linking to your post not showing any of the comments they made but yours.