Whenever an article mentions Android updates, it's a good practice to frame their discussion in the context of international models. Carrier variants typically see updates at a much slower pace, especially older devices. If the rumored date is soon for an unspecified S3 variant, it's for an international model. Count on no TouchWiz KitKat roms until Samsung pushes a build for Verizon, Verizon certifies it, then pushes it out as an OTA.
Way too early to even think about a custom TW KitKat rom.
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[VZW] Samsung Galaxy SIII