No, is the short answer.
TV360 is completely different to TiVo/V6 in the same way as Apple is completely different to Android.
If you currently have a TiVo, it is physically swapped for a TV360 and you will have new hardware. If you have a V6, it is software-converted but that includes a reformat of your HDD.
In either case, all your recordings and series links are permanently deleted.
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