They do different things.
Here’s an idea - substitute your shake for a solid meal containing no calcium. A little bit of salmon might do it, plus it has neat ammounts of omega-3 fatty acids which will your hormone profile, thus speeding up recovery and body composition - a great addition to ZMA (barring any minerals that interfere with MA or Z, obviously).
As long as you get your protein prior to bed, you’re all set. A lot of hype is put into ‘anti-catabolic protein supplements’. All you really need is a good source of protein, your omega-3s and your ZMA. These 3 by themselves will work wonders and they sure as hell will put you in an anti-catabolic state.