1. There's no reason we couldn't provide exceptions for the kinds of vans and trucks that blue-collar workers need to drive into the city to make their livings.
2. There's no reason we couldn't offer income-based exceptions to people who absolutely cannot ride transit for this or that reason.
As in all proposals to ration some scarce resource, it's important to understand that we already ration it, even if it's not explicit. Today, we do it by literally clogging the streets so much that nobody else can get through. (And now we've added this new way, too.) Surely nobody thinks that's the smartest way to ration.