Okay:
0: "Meaning that it never lists the specific Smash trophies as their specific series. ", then again, the red, blue and yellow things´ trophy in Smash 4 that are clearly from Dr. Mario aren´t even with the mushroom series symbol, so that doesn´t matter.
1: Red has had a few alternate versions of himself (I mean, we have about 4 profiles for him), so Red could be an exception for this, just like all Pokémon characters, as they are a species rather than an actual single character.
2: I think it´s based from something in Super Princess Peach
3: Mario was originally a semiclone of Maio back in Melee, so they had to be creative with the resources avaiable, just like with Zero Suit Samus in Smash 4 with her up special, fo example.
We ofter see Mario throwing pills in the Dr. Mario games, then again, so this one doesn´t really matter.
4: *cough* Super Mario World *cough*
5: They clearly went a bit lazy and did Ganon as a semiclone of Captain Falcon, something that hopefully is changing in Ultimate (even if now it´s another Ganon)
6: "This symbolic link between the real world and the imaginary battlefields of Super Smash Bros."
Okay, this statement only shows that Master Hand is nothing but an avatarof an higher dimensional being, which should likely make it High 2-A.
" A being tied to the link between this world, where trophies fight, and the world beyond. "
My previous statement is further supported by it.
Smash 4´s description desn´t really bring anything useful to tthis table, so I won´t discuss it.