Fallout 1 manual: "Kit includes a Basic Replicator Unit. Just add water"
Fallout Bible 6: "The GECK isn't really a replicator, it just contained seeds"
Fallout 2: "A GECK is the resource for rebuilding civilization after the bomb. Just add water and stir."
Fallout Bible 6: "The tribals were invoking the GECK as a panacea for all their problems ... it's not the miracle maker they considered it to be."
Fallout 3: "The G.E.C.K. will collapse all matter within its given radius and recombine it "
Wikia says "The Fallout Bible by Chris Avellone is not canon, but serves as a useful commentary on the first two games."
There seems to be a big debate on what the actual content of the GECK is. It is also possible that the GECK in Fallout 3 is a different version than the one in previous games.
Fallout Bible was made to clarify confusions like that. fallout Bible was to fix lore breaks/holes from the games.
So what the Fallout Bible says it's the final word from the devs.
Unfortunately, you'll never see something like that from Bethesda, that's for sure.
Also, Bethesda didn't make the Bible not canon. This is (as usual) bullshit from the Wikia. Chris said that now that Bethesda owns the rights, we shouldn't take the Bible as canon, but Bethesda does consider Fallout Bible canon, since they mentions several stuff in their own games (and New Vegas) that were only mentioned in the Bible (for a quick example, Vault 106, which I think you said it really left an impression on you came from the Fallout Bible), Todd Howard said they went thought the Fallout Bible when making Fallout 3:
Todd Howard said:
We also went through all the original source material, as well as the "Fallout Bible," put together by Chris Avellone, whose work is always fantastic.
And Emil Pagliarulo said he read the Fallout Bible several times and even slept with it under his pillow while writing Fallout 3:
So, Bethesda never said that the Fallout Bible wasn't canon, they explicitly said that Fallout Tactics is semi-canon and provided a list of stuff that isn't canon from it, they also said Fallout: Brotherhood of Steel wasn't canon at all, but never said anything about any other previous games or the Bible, while admitting to using it and including stuff from it on their games.
Sterilizing them = making the human race go extinct = eradicate humanity
Not really, Super Mutants are the next evolutionary step for humans. That is why FEV means Forced Evolutionary Virus. The Virus just accelerates human evolution, unfortunately it's not perfect and makes Super Mutants sterile (which the Master wasn't aware).
"Original" humans are humans and Super Mutants are evolved humans. Super Mutants don't stop being humans, they also don't lose their identity like in Fallout 3. Also Super Mutants have a chance of getting smarter than they were, after evolving. Only a few specimens got less smart, and the Master was looking for the reason for that IIRC, so he could try and fix it.
People who volunteer to be evolved will be evolved, those who are violent against the Master and the Super Mutants will be killed as a self-defense act, those that are peaceful and refuse to be evolved will be sterilized so they can't continue to breed a race that will wage future wars.
Again, Super Mutants are still humans, but in a higher evolutionary stage. A stage that evolved to be tougher, stronger, have a much higher life expectancy (well past 100 years old), immune to radiation and all diseases. A more suitable human specimen to live and prosper on the wasteland without the risk of creating future wars.