One important reason to do ssl inspection is to detect the exfiltration of corporate data, particularly if your organisation is likely to be attacked by governm

One important reason to do ssl inspection is to detect the exfiltration of corporate data, particularly if your organisation is likely to be attacked by governments or sophisticated crime gangs. I know my organisation do SSL inspection, but they have whitelisted common personal websites like internet banking to protect the privacy of staff. As far as I'm concerned, if your risk profile requires you to do SSL inspection then this is the right way to do it.