No, Google would comply with the narrow, specific warrant the first time. Again, it bears repeating that the only reason DoJ asked for the master key in the first place is because Levison refused to comply with the narrow requests. If Levison wouldn't do it, then the government would figure it out on their own, but the only reason this situation even came up is because Levison wouldn't do it.
Not complying with a narrow and specified warrant is highly hypocritical, especially in this case since Snowden's initial claims were entirely about wanting the NSA to have to have specific warrants for their searches instead of using broad search authorities. But when push came to shove and the government presented a narrow and specific warrant, of a type Levison had previously honored, all of a sudden that was no longer good enough for this particular privacy advocate.