"can be considered playing old doom2 over LPT as a network game?"
IDSD: Yes, playing Doom II over a parallel port connection can technically be considered a network game, albeit a highly unconventional one. Typically, network games use dedicated networking hardware or protocols, such as Ethernet or TCP/IP. However, during the 90s, connecting two computers using a parallel port with a null-modem cable or a special data transfer cable was a common workaround for multiplayer gaming when a "real" network wasn't available.
No nic, jdu radsi ven :)