Out of those two I would definitely buy the SKX007 it is an internationally acknowledged icon of a watch with it’s lineage going back to the early Seiko divers.
The Stargate model will be forgotten in a couple of years if it is even recognised now. Size is also an issue here. Watches of this size always catch when I am trying to put my coat on or bash against walls etc but I do realise they are fashionable.
The skx007 is smaller but there is also a smaller version of this called the SKX013 which would be my personal choice.
There is is talk of the 007 getting the 4r36 movement in the future but hacking is no big deal on an automatic that will be out by 5-10 seconds per day, just line the minute hand up when the second hand passes the 12.
Regarding J & K versions most WIS members would choose the K version as there is no difference, I did hear the straps are longer on the K versions as they are made for a more western market but I can not confirm this. I have had two J watches and 3 K watches in the past/present. The K watches have been better time keepers straight out of the box.