mysqladmin flush commands not working

I noticed that:

mysqladmin --flush-logs

mysqladmin --flush-error-log

mysqladmin --refresh

mysql -e "FLUSH LOGS"

Don't flush the error log and:

mysqladmin --flush-binary-log

Doesn't rotate the binary logs

While FLUSH LOGS; run interactively does rotate logs(error and binary).

This is confirmed also by strace.

To reproduce it's simple:

$ mv error.log error.log.1

$ mysqladmin flush-error-log # or any other of the above commands

error.log is not re-created

You can confirm it with strace by:

 $ strace -f -e trace=%file -p `pidof mysqld` -o mysqld.strace 

After running the commands mysqld.strace file will be empty:

 $ more mysqld.strace 

If you do the same using:

 $ mysql -e "FLUSH LOGS;" 

Then the strace file will contain the proper system calls.