I would love to see Rahmbo do a turnaround on CCW but I can't imagine it happening. He's more likely to fight to the end and if SCOTUS rules against the state he'll be saying how wrong they are just like Daley did.
Rahm is a political shark, and I don't think he intends to stay in Chicago. The crown is rarely (never?) passed directly from one long-term ruler to the next. There are always interim mayors. If he was intent on ruling Chicago for the rest of his career, he's smart enough to have waited until the next election.
Daley, on the other hand, never had his eye on a bigger prize than Chicago. This was his kingdom and he used every ounce of political capital to rule it his way
- courts be damned - until the bitter end.
All this to say: If fighting a court ruling the way Daley did could harm his greater aspirations in any way, Rahm will not do it. He will quietly let the city council enact whatever ordinances they can get away with, and keep his name out of the paper. Take note at how little he has said on the issue of firearms and the second amendment during the race.
He knows Constitutionally-protected rights are a toxic issue for his future plans (likely governor or President).