Will over-the-air DVR work with basic cable input?

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Will over-the-air DVR work with basic cable input?

I have Comcast basic cable going into a recent model HD tv with tuners built in, so I get a mix of analog and HD stations (PBS, major networks, CSPAN, local stations, and one or two others. Am I correct in assuming that the input signal from Comcast to my HD tv is equivalent to the OTA signal I'd get from an antenna? Can I therefore put a standalone over-the-air DVR (such as Channel Master CM-7000PAL) between the Comcast signal and my HD TV and use the DVR to record programs?