Do AHAs or BHAs really help against wrinkles and blemishes?
The sources provided contain no information about AHAs or BHAs, so no conclusions can be drawn from them. A well-supported answer would require studies on skincare ingredients.
The only source provided1 concerns measurement methods for cellular processes in laboratory research. That source contains no information about AHAs, BHAs, wrinkles or blemishes.
On the basis of this source, nothing can be said about how acid-exfoliant ingredients work on the skin. Quite simply, every relevant study is absent from the supplied material.
To answer your question honestly: the available claims leave the matter entirely open. There are no controlled findings on what AHAs or BHAs do to wrinkles or blemishes.
PMID 26799652 concerns guidelines for measuring autophagy in laboratory research and contains no information whatsoever about AHAs, BHAs or skin conditions. No relevant source has been provided.