I agree with the OP. In addition ...
The u/s my OB used for our dating scan and the u/s used for the NT scan were machines with differing sensitivities. The NT scan machine I imagine was much higher quality/resolution so that they could do measurements like the NT measurement with more accuracy. I don't know if this is the case for your OB's practice or not, but it's something to keep in mind.
I guess if you did do the scan in the correct time frame, your OB could look for other signs like cranial shape/nasal bone and the like that are potential soft markers for things like Downs. However, I really wouldn't count on it. If you want to know, get the NT scan, don't count on your OB's dating/viability scan.