It's not, actually, because in the case of Manulife.... All of your companies, of course, will say yes and they can pass it on to the Hong Kong administration, which can say no based on what appears in the application.
However, aren't you in any way worried that among two government departments and one international organization, there's confusion within the departments on what should appear on the PR card, which is the underlying issue for why the Hong Kong administration can pick and choose if it wants to deny a Hong Konger in Canada whom they recognize as having come in on a BNO passport?
Do you have any concerns about this confusion?