Reading the tea leaves a bit, Speaker Pelosi seems dead set against it and I dont think will allow it to be moved as is. she has publicly stated that "states must be allowed to address rapid changes in technology", IE, the bill preempts to many state privacy regulations, esp in California. But as a rule my default assumption for the "real reason" why Pelosi is against something is because she thinks it will harm chance of caucus holding majority in house.
https://pelosi.house.gov/news/press-releases/pelosi-statemen...
Skeptical as I am of her motives / methods, I'm inclined to agree with her in this case. Act should be a floor not a ceiling.