There were an extraneous couple of gates in the noise channel of `NoisyCliffordTSimulator`, which had no effect. These have been removed, to hopefully benefit performance.
I have been testing `NoisyCliffordTSimulator` against Qiskit's old quantum volume demonstration notebook, as well, and it was a minor annoyance that the base 2 logarithm of quantum volume tended to cap out at around only 4 or 5 qubits. By reducing the default noise by a factor of 4, to `0.0001`, the noise is still easily detectable in quantum volume benchmarks, while the test usually passes for at least 6 qubit level of volume. (The noise level parameter will commonly be set to custom values for end use cases, anyway.)