Of course, if it's a CIF port, and then you declare the import yourself, if you don't attach the agency agreement, no one will know the name of your guest hospital. As for whether the freight and insurance to the hospital are borne by you, you can explain it to foreign customers separately, and I believe they will also pay.
As for what you said: is there a direct and inevitable connection between the port of arrival and the final destination in the letter of credit and the name of the customs declaration company submitted at the time of customs declaration? Of course, my answer is not directly related.