No. Because let's look at endings (I'm ignoring the green ending, because it's piss-poor magic shit that makes zero logic and was chucked into the game at last moment).
You control the Reapers? Why control only to leave them? If Shepard dies for the control, he should just tell them to reveal all secrets they have and uplift the civilizations. This way, even if relays are destroyed, the might be rebuilt in the next 100-200 years, or at the very least tell the secret of faster FTL travel (because Reapers traveled from 0.25 to 1 lengths of Milky Way in a year, that's FAST without mass relays).
You destroy them? You also destroy the geth, EDI and you MIGHT survive (if you did everything in Single Player and then played a bit of multiplayer to get above 5k Effective Readiness). But that makes the whole "Quarians, Geth or both survive" things you did earlier in game invalid. If you let Geth live and advance, they are now all dead. If Quarians were destroyed, now there are two races annihilated instead of just one. And in any case, the geth can't help Quarians on their homeplanet anymore, and they were just starting to live in peace.
Your comparison to lottery makes no sense - Shepard made preparations, he united all of the races, there were sacrifices on all sides, and the magical God child made them all obsolete. Because no matter what you choose during those 3 games, the endings are still the same!
As it stands now, ME3's ending is like Tengen Toppa Gurren Lagann, except if the protagonists upon finding out the existence of Anti-Spirals just gave up and returned to living underground instead of fighting against all odds and laws of the universe (gravity and logic included).
Reapers/Anti-Spirals: "We were once like you, but we realized that synthetics/Spiral Power will cause chaos and destroy the galaxy/universe, so we keep stomping down intelligent life whenever one appears and reaches to the stars!"
Simon: "SCREW YOU, WHO THE HELL DO YOU THINK I AM, MINE IS THE DRILL THAT SHALL PIERCE THE HEAVENS!"
Shepard: "Okay.jpg"