It has nothing to do with Rasberry PI…
Network 101
All network devices, in order to talk to each other, need an IP. NAS usually just like laptops/desktops/tablets, are set to get a DHCP address.
Routers at home networks (LAN), are usually the DHCP server as well. Hence the need to connect devices to it.
So now, in order to set two devices to talk to each other one of the following needs to happen:
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One of them set to a DHCP server
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Static IPs on both devices
So as long as you find a way to set static IPs on both, I do not see why it wouldn’t work. You would then access MBL via its IP.
But as TheAgustin said, hook it all up as you had it before, Internet connection has nothing to do with the LAN.