The major reason for Paradoxical Outcome’s success in Eternal formats is that the cheap artifacts create an incredible combo. Outcome may cost 4 mana, but if you’re bouncing artifacts that net 4 or more mana by being cast again (such as Moxes and Sol Rings which net 1 mana, or Mana Crypt and Mana Vault which net 2 mana), you come out far ahead. On top of that, you get to draw a card for each card returned, letting you find more copies, more artifacts, or whatever else you need to churn through your library.
Standard doesn’t have much in the way of acceleration, or a single card that’s going to net you mana. You do, however, have plenty of artifacts that add value.
Aetherflux Reservoir is one of the coolest ways to win that I’ve ever seen. It would likely take 8 spells in a single turn to gain enough life to fire off the Reservoir for 50, but it’s certainly possible. At the very least, you’re looking at some serious incidental life gain and a potential Storm win condition.
While there are plenty of artifacts in your deck to help accelerate your mana, it’s still not easy to resolve too many spells in a single turn. Luckily, both Foundry Inspector and Herald of Kozilek will help deal with this issue. One of the best features of Paradoxical Outcome is that you don’t actually have to return all of your permanents to your hand. You can leave your Inspectors and Heralds in play while returning Prisms and Puzzleknots. With a couple of these in play, each of these artifacts will draw you a card from the Outcome, and then draw you another card for free when you cast them again. Every additional one you draw will continue to net you cards for free.
Your Archives and Caravans will be mana neutral with 2 of these effects in play. Considering every Colossus and Sanctum is another free spell, the ability to completely go off with Aetherflux Reservoir is there. Even without a Reservoir in play, you’re looking at drawing a ton of cards and getting a bunch of 10/10s in play. If that’s not enough, these extra cards should find you a Reservoir and another Outcome to go crazy again!
Oh, and Glint-Nest Crane happens to just find all of these pieces outside of Outcome, blocks really well, and then can be bounced by future Outcomes to help find more artifacts.