Basically, these observations only have significance if you assume that inflationary cosmology is correct.

Actually, these observations don't seem to fit with standard inflationary cosmology.

"...to reproduce the effects that we appear to see, within the framework of inflation, one would require a mechanism for producing recurrent explosive events close to the inflationary turn-off point. No such mechanism has ever been seriously contemplated."

(but someone might start seriously contemplating it now!)