arch/lkl/Kconfig currently carries:
17 select NET
18 select MULTIUSER
19 select INET
20 select IPV6
This keeps things relatively simple in that tools/lkl/lib/net.c etc. can be built unconditionally. Still, there's no particular reason to only support lkl builds alongside CONFIG_NET, given that tools such as lklfuse have no specific need for anything network related.