Is there a reason for it to be hidden? It doesn’t strike me as being sensitive information. One could ask a similar question for just about every field on profile pages with about as strong an argument.
I think it’s important that preferences remain curated; there’s a UX cost to each addition - the more of them there are, the harder it is to make each one discoverable. I don’t think this is a great candidate. Only admins can change site settings, and they could just as easily use CSS to achieve the same thing.
Something like this should get the job done;
.invited-by {
display: none !important;
}
If staff did want to retain access to the information, they could use :not(.staff) or something.