I guess in the most very simplistic way they can be identical but that is just a matter crude comparison with very little attention to detail, sorta like looking at two different objects through a lense so much out of fucus that the two appear pratically identical.
In a way I can see your point and it could seem churlish to even pursue the matter. On the other hand, the important difference of view between us is not so much "simplistic" - as you suggest - but more to do with definitions of key terms such as "loyalty".
Again, companies and organizations do talk about "loyalty" to the company or organization in the exact same context they talk about the need for demarcated PR roles and the need for employees to not divulge confidential company information.
In New Zealand, for example, we have the Privacy Code which speaks to the issue of the rights of an employer to expect confidentiality from employees. Whether this "right" is framed in terms of "loyalty" is not too big a stretch, with some holding the view - as I do - that it is an expected part of one's employment contract.