Sorry, I'm confused. What exactly do you question?
The statement that "Randalls (NOT Safeway) acquired some Weingarten's stores in 1984." Per most sources, Safeway actually acquired many (46-ish) Weingarten's stores in 1984, considerably more than Randall's did.
I still wonder where those stores had to be. Keep in mind Randall's is a very regional chain.
The arch this store has means it could have been a Weingarten's or possibly Marina Safeway. Randall's did buy some Safeway/AppleTree stores. I also have seen pictures of early Randall's with a similar design. Perhaps they incorporated an "arch" as a design element into later stores (not unlike Acme Markets)? The former Randall's in The Woodlands has a similar arch.
Just a theory: The former Woodlands Randall's relocated to a former Albertsons in 2002. The current Randall's in Katy is also a former Albertsons. They might have both relocated to shed these aging, acquired stores. Most Randall's that I know of looked quite different. They were probably built as Randall's during the same period. Some of these stores were not remodeled or closed until later, around 2005. I am thinking Safeway, after they owned Randall's, wanted to eliminate "outdated" stores? Maybe the ones that were previously Safeway? And expanded...
I read an article in Supermarket News
once that said something about a "bad taste" left in Houston from Safeway/AppleTree there...