At this point it's the honor system. I suspect if we get back to "normal" at some point they might require proof.
But for example my company moved to "back to the office" back until 2022 because of the Variant.
IMHO, not a good idea to have incorrect info on your insurance policy.
Read your policy: you are required to notify them in a timely manner if there is any substantial change in the conditions that your policy's rate is based on.
From what I understand lets say (I'm totally making up the $'s) you have $500K of insurance on something, say auto, and you say you drive <3 miles to work but you actually drive >15, and that saves you $100/yr on the premium of $1000/yr. Technically the insurance company can claim if you have a $500K accident (pretty easy to do if there is injury) that you only have the amount of insurance that $900/yr would buy which say is $400K. You are on the hook for $100K.
So if you think you are saving money you are only kidding yourself.
Maybe even worse ramifications if you purposely provide false info to obtain a lower premium, e.g., you say you live at you parent's house which is in a low risk (and hence lower premium) area and have your bills sent there, whereas you actually live in a high risk area.
Maybe some of the UG mongers involved with insurance can chime in.
MOD: If this topic goes on much more perhaps there should be a new thread.