The linux kernel generally comes with all ‘out of the box’ drivers pre-installed so as long as the kernel on your system disk supports the new hardware it should auto load whatever is required. On the Rockstor side we are a level up from that and simply need to read disk serial numbers to track devices. And in turn we then use pool name and share id. We have in process some changes that will move our code over to pool uuid instead of name but they are not yet in place fully. So we have work to do in that area but it has begun.
So yes you should be good to move the system disk along with all the data disks and hopefully it should be able to pickup where it left off. Obviously we are talking of many moving parts here (the entirety of the hardware bar the drives and pci network card) but linux is generally quiet good at that so Rockstor inherits that. This all assumes you are using host bus adaptors (HBA’s) on the existing board and the new board as there are differences between how hardware / firmware raid controllers format their devices but you make no mention of that.
Also take care to match to boot modes between the 2 motherboards, ie Legacy boot / secure boot settings as given it’s booting OK on your old Asus you should be able to reproduce the same settings in the new system prior to moving the system disk over. That should help to smooth the way some what also.
Always best to do a backup prior to making any changes of course and that has to be the advice in this case but in many smaller (read non commercial) settings there is often not the space / hardware to do that. Still if the data is important then you have to assess what it is worth to you in comparison to what a backup would cost. All obvious stuff but yes you should be able to move system disk and data disks, in one go, to the new machine. Just don’t risk doing any live plugging / unplugging as both btrfs and Rockstor are just not there on that front yet.
Hope that helps and do let us know how this goes. I’ve had initial network issues myself doing this on occasions and subsequent reboots have managed to fix it. Plus you can always ask again on the forum and be prepared for a little too and fro as the required information is exchanged to narrow down any problem you might run into. It may be that you moving your intel network card helps with this move as the Network config in Rockstor will at least still relate to the same hardware but it’s difficult to tell really.
That Asus AM4 looks like a fancy bit of kit. I like Asus stuff myself and use an older Intel variant in my main desktop.
Hope that helps.