Essentially, I don't think you're changing the matchup, and you're adding a 4th color. The mana in the deck for non-green cards is already not great. You're still losing to exactly the same strategies, and while Pyroblast is tactically a little better, practically it's the same card--unless you're countering a Tinker after they've deployed a lot of mana, it's gonna be the same. (for reference--I've tried the grudge+Pyroblast version. It's still the same issues).
I actually think the matchup isn't unwinnable (it's not good, but it's acceptably bad matchup) if they don't have Tinker+Blightsteel in their deck, since your disruption tends to be more meaningful, as they can't DT their way out of trouble as easily. You're largely cold to fast Blightsteel, and Swords/Path are too conditional to board in for exactly that matchup.
Really, if you want to get to the core of it, it's that to beat Outcome consistently, you either need to have a real wall of disruption which they can't realistically break through (Jeskai), or the ability to clock and disrupt at the same time (Shops, since Mishra's Workshop/Foundry Inspector aren't remotely fair cards). Survival can do this, but you need a pretty good hand to actually both fire Hollow One/Vengevine, and put Null Rod/Thalia in play before you lose. That, I think is a function of the deck's basic functioning, rather than any particular tactical answer.