He would need to take a pay cut, which similar to Carr, he has no incentive to do with a $60m guarantee kicking in 2-3 days after the league year starts.
A potentially big difference, in terms of the money they could get, is there should be a market for Carr that won't exist for Thomas. It might be that Thomas wants to move on but he's almost certainly going to play on a significantly reduced salary, wherever he is.