I assume it would work as well, but you'd need a WinUAE SANA-II driver to actually use the network. Maybe such a thing exists... But as was said, there's absolutely no need for it - just enable the bsdsocket.library emulation (which passes the network calls directly through to the Windows TCP/IP stack) and browse away

You're correct about SYS: AmigaOS uses special names for certain drives, so they can be accessed all the time. SYS: is given to the drive the OS booted from, so you can always access it in scripts, even if you rename the Workbench: drive later on... Others are:
C: (points to SYS:C/ and contains AmigaDOS commands)
DEVS: (points to SYS:Devs/ and contains device drivers)
LIBS: (Points to SYS:Libs/ and contains shared libraries)
L: (Points to SYS:L/ and contains "handlers")
DF0: (points to the first floppy drive, regardless of the name of the disk in that drive)
RAM: (points to the RAM disk - a very handy temporary drive)
ENV: (points to RAM:ENV and stores settings and environmental variables)
It's a nice system which other OSes could benefit from! Coming from Linux there are some similarities you might see, but one important difference is there's no / or My Computer - drives are the start of the filesystem tree, and assigns (such as SYS: and ENV:) behave pretty much the same as drives except they don't show up on the desktop...