If the Democrats and Republicans were negotiating a deal for an immigration reform, such an event would affect the whole negotiation process because there is no doubt the Republicans would say "Look at this crisis. We can't do this right now. Pause this now.", which is precisely what they did earlier this year. It's their typical thing to do.

But, this whole process does not involve any Republican. It will all come down to how open-minded the parliamentarian is and how she interprets the Byrd rules for the immigration provisions after the Democrats' argument for including them in reconciliation.