So you mean have a second nic in each system to the nas?
It's an interesting concept, but since most hacking/malware/etc is targeted to the desktop (like all the crypto ransomware), I don't think it would help since each system can see the nas.
Back in the day I had a web server set up at my house and had the files on another system. To avoid any direct hacking from the web, I had 2 nics running two different protocols--one had tcp/ip for the web and another had ipx (or netbeui--can't remember) to the file server. This way, one could not directly hack to the files.
However, if one got access to the system, it didn't matter as the system had access to the files. That's pretty much still the case today.
Now, for bandwidth purposes, sure I would as it would give a dedicated pipe just for the nas. But this would only matter if you've got a log of congestion on your lan to begin with.