Quake Live isn't an MMOFPS. It's a multiplayer FPS.
By your logic, Halo and Call of Duty are MMOFPS's as well.
Multiplayer in Call of Duty 4 can be considered as MMOFPS, or Modern Warfare 2, or Black Ops.
Absolutely not. Break MMO down for starters. Massively Multiplayer. Lobbies with 20 people are not massive, sorry. Nor is it a persistent world with thousands of players logging into it. Planetside is an MMOFPS, COD is not. It's just simply a multiplayer FPS. The term MMOFPS gets thrown around now way too much.
A massively multiplayer online game (also called MMO and MMOG) is a multiplayer video game which is capable of supporting hundreds or thousands of players simultaneously. By necessity, they are played on the Internet, and feature at least one persistent world.
MMOFPS is an online gaming genre which features a persistent world and a large number of simultaneous players in a first-person shooter fashion. These games provide large-scale, sometimes team-based combat. The addition of persistence in the game world means that these games add elements typically found in RPGs, such as experience points. However, MMOFPS games emphasize player skill more than player statistics, as no number of in-game bonuses will compensate for a player's inability to aim and think tactically.
The original MMOFPS, World War II Online was released was on June 6, 2001 and later renamed Battleground Europe. This game has a thriving community and is constantly being upgraded. Neocron is sometimes considered the first MMOFPS,most consider it a hybrid of MMORPG and first-person shooter, with the later PlanetSide sometimes considered the first MMOFPS.
Please explain how any game in the CoD series fits that definition of an MMO or, per the second quote, an MMOFPS.
And WarRock? Or BlackShot? Battlefield Heroes? These are also not MMOFPS?
No, none of them are an MMOFPS. Sure, the common description for them is as an MMOFPS, but that doesn't mean they are.
The line from the MMOFPS description I linked blatenly answers your question, I'll link it again for you.
MMOFPS is an online gaming genre which features a persistent world and a large number of simultaneous players in a first-person shooter fashion. These games provide large-scale, sometimes team-based combat.
None of those games have persistent worlds, they use maps. Take a look at Planetside and World War 2 online for a good example of persistent worlds. Both of those games are MMOFPS and they don't have map switching. You connect to the server and you play on ONE persistent world. Maps and persistent worlds are two completely different things.
MAG, a game for PS3, features a game mode with 256 players on one map. That is more than any of the games you mentioned, but it also runs a lobby and map rotation system too. I remember the Developers at one point saying "Well we could almost call this an MMOFPS just due to the amount of players" however they didn't label it as one. So how then do the games you listed get off calling themselves an MMOFPS based on their player count when MAG, who has more on one map than any of them, do not list themselves as an MMOFPS?
Again, map rotation and persistent worlds are two entirely different things. The MMOFPS label gets thrown around entirely too much now.