Would Amulet Titan be fine without Amulet?

The time is not yet ready to have a serious discussion about banning something out of Amulet Titan, but let's say in the post-Breach world it goes crazy and becomes the new deck to beat.

If Amulet of Vigor itself got banned, would the deck survive off the back of Spelunking alone? It seems like you can still perform all the same tricks with Titan or Analyst/Lumra, but you lose the blazingly fast wins that multiple Amulets can enable and Spelunking is harder to tutor for. The deck obviously would look pretty different without Amulet, but just how bad would it be?