I can't remember the BRC rules on this but I will tell you what I've seen from BRC approved sites and give you the ups and downs.
All high risk factories I've ever been in have captive footwear, i.e. the footwear is not removed, it stays in all of the time. The footwear should be clean when you put it on so there's no point cleaning on the way in. Some factories have a cleaning stage on the way out. This varies and I've seen hand brushes and foot baths, boot washers and also nothing. So, what's best? Boot washers are notorious for harbouring Listeria. They can also throw up aerosols so if you're rewearing that coat you've got on as you're washing your boots later it will probably be contaminated.
The hand washing option is probably a lower aerosol risk and the equipment is easier to clean and change so Listeria risks are lower but then you're relying on people washing those wellies. Will they? That will depend a lot on how closely you monitor.
The last option is to do nothing... but then get a "welly fairy" (i.e. a hygiene person) to clean the boots in the rack. This has the benefit that it's a defined person's job, Listeria risks are probably minimal to nil BUT it's time consuming and IME never gets done.
So all of the options are a compromise. The one which works best in practice is probably manual cleaning, the one which should work best is the welly fairy but personally I never recommend boot washes, most factories I know which have had them have taken them out.