While SATA drives do have integrated drive electronics, AFAICT the term "IDE" refers to the 40-pin parallel hard-disk connector that would later become ATA, gain CD/DVD (ATAPI) support, DMA/UDMA support, then move to an 80-conductor cable, and would eventually be renamed Parallel ATA at the time that Serial ATA arrived. I don't think "IDE" is generally used to refer to any SATA devices, although I am not even remotely an authoritative source on such matters...
Cheers,
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Darius