It's important for everyone, especially those with potentially fatal food allergies, to weed out and penalize the "drama queens" who exaggerate allergies and other conditions either for attention or just to bully. There is a lot of cynism about food allergies precisely because the average person probably runs into 20 drama queens for every real person at risk. This cry wolf phenomenon is very dangerous to the people actually beset by wolves.
It's pretty easy to tell how serious a person's allergies are. People with with serious allergies carry epipens If a person doesn't, then they don't really think they have a potentially fatal allergy.
Few things in life are more frightening than the idea that almost anything you encounter could be covered in an invisible poison that could kill you horribly in minutes. It kind of seizes your attention. People with real, potentially fatal allergies just don't screw around, they carry the technology that will keep them alive.
If someone doesn't, then they aren't that afraid.
I pretty sure that under US law, any company with more than 50 employees will have to have to identify people at risk and have an emergency plan in place to deal with them coming in contact with an allergen, just like they do with diabetics and other people with sudden onset health issues. That will include epipens in all first aid kits as well as personnel trained and assigned to their use and aware of which individuals will may need care.
The steps suggested in the email are actually not sufficient to protect a person with severe peanut allergies. People have died from coming into contact with the dust from crushed peanuts in an discarded candy bar that rolled under a desk. Likewise, you could kill them just by shaking hands after having eaten anything with peanuts hours before.
The only real protection is not trying to remove all peanut proteins from an area, an impossible task because they are a common food, but to prepare for the certain eventuality that they the allergic will come in contact and have an attack.
In a severe attack, you will have as little as 4 minutes to understand what is going on and administer the epiniphrine. If your not prepared to respond before the attack occurs, you probably won't make it.
Your employer should require the at risk employee to carry an epipen at all times as well as make sure that the employee is identified to at least several members of management (so someone onsite will always know) and any designated onsite first responders (which you should have in every work place.)
Likewise, if the allergy is not severe, then the employee in question needs education on how they endanger others by crying wolf, not to mention the corrosive effects such behavior has on team cohesion.