Iroh, Grand Lotus and Omens

Playtesting a new \[\[Iroh Grand Lotus\]\] deck, and I'm curious about a specific interaction.

Let's say I've got \[\[Whirlwing Stormbrood\]\] in the yard and Iroh on the field. I know Iroh's continuous effect gives \[\[Dynamic Soar\]\] flashback on my turn, but after it resolves would I be forced to exile it, or would I have the choice to instead shuffle it into my deck?

My gut says the latter would be the case, and Whirlwing would be freely retrievable from the graveyard to the library for 2G, but I'm curious if there's some errata I'm missing that would directly contradict this interpretation. Do I have it right?