Funny how different each user is
I'm looking for a way to be able to add more widgets (dashclock type) to my lockscreen so that I don't have to unlock my phone to see notifications - and still keep my data secure by not allowing anyone to read my Emails/texts without my passcode/pin - that is disabled on the Galaxy S4!
To answer your question though, it depends on what app you use to listen to music. Google Music doesn't seem to offer the option to disable lockscreen music control. Other music apps might offer that though.