You are correct that the decline is exaggerated by base effects; but it's also true that there has been a fairly steady decline last few quarters (disinflation)
The first line of my original comment states that MoM CPI will be low over the next few months, in my opinion from factors that will ultimately be fleeting. So you seem to be having a conversation with yourself that is unrelated to my original post.
MoM inflation on its own doesn't tell you anything about structural inflation. MoM fell many times in the 70s/80s only to rebound later due to overly optimistic policy makers assuming a downward trajectory would be sustained without further action from them. It's effectively the exact same situation we're in now... only question is whether the Fed chooses to repeat that path or not
Anyway, here is MoM.
https://econbrowser.com/archives/2023/07/inflation-at-month-...
You are correct that the decline is exaggerated by base effects; but it's also true that there has been a fairly steady decline last few quarters (disinflation)