It looks like the Barix is for a stand-alone installation where a PC is not present. This device plugs directly onto the LAN just like an IP surveillance camera would. No computer needed as they normally have an embedded operating system on board (normally linux). I bet a quad of those would sure look nice mounted to the wall with audio being routed to them for capture somewhere else. Keep in mind some of these devices only deliver proprietary protocols to move audio around and you are sometimes forced to use their limited apps. Others use standard encoding which gives you lots of flexibility.
The USB sound card you listed of course requires a PC and I may not use the word professional to describe it. Will it do a good job for a single feed? I am sure. If you are looking at a profession audio interface that will handle multiple channels, with hi-quality fidelity, I would look at a firewire device such as a MOTU interface if you want outboard gear, or something as simple as the EMU 0404 card which plugs onto the PC bus.
The reason I suggest some of these higher priced cards over a simple USB dongle, is there is a lot of processing that takes place on the chip-set of the card or device. It then off-loads your PC of a lot of the normal tasks required when digitizing audio. You can also have multiple channels going concurrently and have a simple, easy to use mixer interface to set your levels and EQ.
I use a MOTU 828Mkii which is overkill for most, but it does double duty as the heart of my home music studio. Check out
MOTU.com - Audio Express Overview .....nice, flexible product with all kinds of options.
Good luck and sorry I am so long winded......I can be like that sometimes......
Vince