Prophet:
Serge... This world is not
the world you grew up in.
10 years ago, something
happened that put your very
soul teetering on the
balancing scales of fate...
with a fifty-fifty chance
of life or death!
This is when your future
was split in twain.
I think that definitely makes it seem like there was a chance of life and death, not just that life happened in one world and death in another
[Crono]
Where even angels lose
their way...
Ten years ago, you died
at this very spot.
There's no mistake.
You drowned.
The truth is, this world,
in which you are still
alive, is the irregularity...
This is the false reality!
This does make it seem like Home World itself is the irregularity, but it really emphasizes that a word in which he lived is the irregularity, which, as I stated before, is true because there'd be no chance for Serge's survival had Kid (I'll use Kid instead of Schala now because, after rereading some of the script, I found out that Kid, in the future, went back in time to save Serge.. but I don't know if that means that the Kid in the game is actually older than she should be from existing in the future) not intervened. However, a world in which Serge died could be the false reality or 'reality'.
[Lucca]
...
Further in the future, Kid
is meant to travel back ten
years in time from now to
save Serge from drowning.
Yes, this all seems nice and contradictory to me in that it makes sure that Kid saved Serge for sure. But this leaves a hole; if this means to say that Kid DID save Serge, and that Another World is where Kid didn't save him, why didn't she? The splitting point between Another and Home Worlds is supposed to be when Serge either died or lived, so Kid should've acted exactly similar in both worlds up until the point where Serge either died or lived. So Kid had to have come back in both dimensions, so BOTH would be different than the ideal timeline since Kid's presence would affect things (maybe Lynx/Wazuki would've acted differently in the future because he saw Kid, or maybe her presence in the water to save Serge caused a ripple that caused a fish to swim in the opposite direction which caused a fisherman to get one more fire one day etc.).
Once again, Crono does not call Another World the reality, just that Home World is the false reality, and the 'the' instead of an 'a' is because he's showing that Serge shouldn't have lived...
Now that I think about it, this is what the diagram should look like:
...................---------------------
................./
------------------------------------
.................\
...................---------------------
The center one is what was supposed to happen, but Kid went back in time to create 2 whole new ones...
Sentenal: I guess I didn't answer your post's statements specifically, so I'll do that now:
As I kind of said before, it doesn't call Home the abnormality in reference specifically to Another World, but it calls the one in which Serge lived the abnormality, which is positive, in reference to the one in which Serge died, which might be an abnormality (the one where Kid travels back in time isn't the abnormality, and the one in which Kid appears to try to save Serge is)
Also, I'm interested to know whether Belthasar is ever in Home World