Seeing it as a multiplayer game and reading the cards that way does not change the way how the game should be read and interpreted. Even though it is still a 1v1 game, I read all card texts within the multiplayer context. It is a small shift in perpective, but when the official multiplayer rule hits the stands, I'll be prepared.
On a side note, I had my first game this weekend...both games were an ad hoc multiplayer affair without deckbuilding*. The first was a blowout, but the other was a very tight game coming down to the wire: each team was one attack away from winning.
What I meant by "without deckbuilding" is that each player had a 75 card deck composed of 3 copies of every card available for his faction minus any neutrals/alliance/draft. This was because it was late at night and we couldn't be bothered to sit down and examine the cards to start deckbuilding....other than myself who have been up to date with Hastur's spoiler months in advance, but I had thought "no deckbuilding" was good for the group for their first venture into Invasion. This created problems midgame sure, like inability to draw into units, but it was still extremely fun!