It's a terrible idea. Firstly even assuming that sanitiser can effectively disinfect outer clothing, if someone has the virus they'd likely have contaminated their phone and pocket contents which they will no doubt frequently touch, re-contaminating everything after entry.
Secondly, there is the potential H&S issue of inhalation, damage to clothing, flammability etc. Thirdly, production staff (hopefully) already follow strict GMP and PPE protocols to ensure contamination is minimised on entry to the production facility, so it's just the other departments I'd be mainly focused on, where personally I'd put more controls in terms of hand sanitation and distancing. I.e. my NPD, finance and several other teams are working from home so that's made more space for the on-site office staff to spread out a bit, and they are now in the habit of sanitising hands frequently and door handles etc.
Best of luck in your meeting with top management The Food Scientist. As usual I can see the vague logic of the idea but they need to realise the flaws at the applied level. I was half expecting to see the "injection" suggestion when I opened the thread so that's a relief at least.