It doesn't have to be dual rated. Type "CM" is a permitted sub for type "CL2". See Table 725.154(G).
I see it. It's table 725.61 in the 2005 NEC and 725.56 (D) permits class 2 in the same cable as art 800 circuits. I remember the cable I saw listed dual rated, it was 18-2 dual listed CMP and CL2P, and had a substantially upgraded insulation over regular thermostat wire.
Another table to look at is chap. 9 table 11 (A), which lists class 2 circuit power ratings up to 8 amps and 100 va. That's what the CL2 rating gets you, it says it will carry the power levels of the class standard, which are commonly runs of 200 ft or so, and pull in the coil of a DP contactor or power the gearmotor of a Belimo motorized operator.
The code is there for standardization over millions of installations with very few problems. Do you think there is any blanket statement that CM rated 23 ga cat 5 can be substituted for class 2 power carrying circuits. Can guys run building control circuits and treat cat 5 like a 4 pair CL2 circuit. No, not in a standardized way, it will have a high incidence of failure to operate.
If you want to turn the doorbell circuit wiring into an exercise in field engineering, then yes, I agree, it is possible to do the numbers and limit the attached load to the power carrying limit of a pair of cat 5 23 ga, or paralleled runs of 23 ga, since art 725 is exempted from most of the chap 3 code requirements (minimum size to parallel).
To send crews out and tell then it's OK to sub cat 5 for CL2, the CL2 load va's are well beyond what cat 5 can operate at.