I am thinking about deleting Bala-Tik’s dialogue about the droid entirely, and shifting the first Snoke scene to just after the Maz Castle battle.
This creates quite a few new meanings and interpretations.
First, the gangs don’t know about the droid, since that information would probably be secret to all but the First Order’s own spies. The Maz Castle spy is the first and only tip-off to the First Order about BB-8.
Second, the villains don’t make a pit stop at the Starkiller while they are supposedly tracking the Falcon. This keeps the change of location very simple, and visually introduces the Starkiller only when it becomes important to the 3rd act. If the deleted Leia scene happens directly after this, it would place strong emphasis on the Republic going into the final act of the film.
Third, it keeps Kylo’s identity a secret until Han’s reveal after the battle, and the Snoke scene becomes a follow-up to and confirmation of the reveal.
Fourth, it makes Snoke seem a bit more in control as he has presumably heard about and considered Kylo’s decision to take the girl instead of the droid. The later grumbling about the droid after the interrogation scene would be cut, as well as Hux’s finger-pointing. In this scene Hux even tries to take responsibility for the bungle, which gets shouted down. Oddly, Snoke doesn’t seem angry with Kylo for abandoning the droid, which leads me to…
Fifth, Snoke seems very concerned about the effect of Han Solo on Kylo Ren, and thinks that it may be too much of a test for him. One interpretation of this is that Snoke thinks that Kylo avoided gaining the droid to avoid facing his father, or even that Kylo was intentionally helping Han and the Resistance by giving up the droid. This is more than a hint that Kylo will be redeemed in the 3rd act, making his eventual decision all the more cruel. (It may be worth removing the lines about needing reinforcements at the battle in order to make his decision that much more questionable)
Sixth, and most importantly for Rey, the awakening that Snoke speaks of happens after Rey’s ‘call to adventure’ Force vision, leaving no doubt as to the source of the awakening.