FB is down right now, but that FB page, when it is working, for the Hawaii store, does not refer to the word "Hometown". As for the Sears appliance store next to Bronx Kmart, I see no mention of it closing anywhere? But I would imagine there are probably countless such small format Sears, around the country that aren't listed on any central website, per Say, but have their own FB pages or what have you. That's why I never got involved with the Sears end of things, as far as list-making, because they have about 700 different "types" of Sears (OK, I'm exaggerating, but still), and the lines between the different types are often murky and ill-defined. I mean, what exactly is the difference between a Sears appliance, a Sears mattress and appliance, Sears Home/Life, Sears Hometown, Sears appliance repair, Sears uncle fred's boomers Sundries store, Sears Bingo equipment for old grandmas store, Sears this store, or Sears that store? I'm waiting for a Sears fish and tackle to open up in Antarctica. The lines between these different types of Sears are very murky. I guess we have to get used to it, because small format Sears are going to be about the only kinds of Sears left, very soon.
That's why i stick to the Kmart-end of list-making, LOL. At least with Kmart, it's very cut and dry, as to what is or isn't a Kmart.