That's certainly an avenue worth exploring. It's a shame when somebody's driving record suffers because of what is essentially an "administrative" offence. Unfortunately there's no difference in the penalty between what happened here and somebody tanking it at 120 on the M1 simply declining to name the driver in order to avoid the (almost inevitable) ban for that offence.
As well as that he may be asked whether he has any unspent convictions in (say) the past five years and whatever the position with his licence he must answer "yes" to that. Whilst penalty points become spent when they cease to have an effect (i.e. after three years) the accompanying endorsement is not spent until five years have elapsed. The problem I think the OP may face is that it is often the employer's insurers who set the conditions and they may not be easily swayed.
Would it be an option to appeal to the company looking to employ you, explaining the situation (why you have points on your licence) and highlighting that the index offence wasn’t committed by you, and now you are more aware of the need for company policies tracking drivers, to protect the other company staff?
One of my main points to the FOS is that they state in many documents that they have no records that show I had PPI on my loans (they state the loan account numbers and sort codes), but then state 'Please note that you can take this letter as confirmation that you have not had Payment Protection Insurance for any of your loans'.
I will be very interested to see what the FOS says about this!!
Don't touch them owe me £500 since January 2019 make excuse after excuse. Seem they always have software problems sending money out. Keep saying they will call back or email nothing been chasing it now for 6 mths the phone staff always have the same banter we will chase it up and get back to you then nothing!