Yes, you need to match the conversion setup to your game settings. For CSGO this means setting ADS and Scope to MDV 133.3333% and Scale 100%. This will calculate the zoom sensitivity to "1" for all scopes. When converting to any other game, the same conversion will be applied, preserving the exact same sensitivity based on the FOV of the scopes.
For hipfire you can either to the same, or keep it at 360 distance, depending on your preference.