Can only execute mysqladmin as root account created with unix socket, all other accounts fail
I have finally figured this out.  I have SSL enabled, which I may have not mentioned in my original post.  When I added the --ssl-ca parameter to the connection string, I was able to connect.
mysqladmin -u orgdba --ssl-ca=/etc/mysql/ssl/ca-cert.pem -p status

now returns the status as expected.
Hopefully this helps someone out in the future.