The answer is no, they don't survive in those zones, and they aren't found in the higher elevations, only in low elevations, and where there is adequate moisture. I grew chiltepin in my garden in Phoenix. It would go deciduous in winter, regardless of temperatures. One winter had very little freezing/frosty weather (a few mornings around 30F) and most of the stems were undamaged, however the following winter had a harder freeze one or two nights (27F) and the stems were killed. Although the stems were killed, the roots and thick base/trunk was not, and it quickly grew from the base/trunk in the spring.