I don’t know where you saw that Pshat. The only Chiluq I’ve seen is between ????? and ???????. If your Chiluq is true then the Gemara would have found a difference between ??? ?????? and ???? ???? other than for Leining Krias Shma. I mean, you don’t say the same about ??? ?????, do you?
The Gemara didn’t use your Pshat to explain Rebbe Gamliel when he made the Bracha ???? ?? ??????, either.
Your Chiluq might work for a ?????.
As for that story, it was probably what Chazal call ??? ?????? ???? ????.