Epigenetic changes absolutely can be passed to children even over multiple generations--this is already proven.
Which epigenetic changes are caused by T2D and whether they predispose the next generation to T2D would be the question.
How we pass on acquired traits to offspring is not well understood at all. We know there’s a mechanism, but not how it works or how selective it is.
https://www.cuimc.columbia.edu/news/study-shows-how-effects-...
Would you believe that things are more complex than neat categories discovered in 1850 that you learn in fifth grade?
Starvation is just the most studied aspect of this as it is easier to find control groups. However, you could easily search and find others, which you don't seem to be willing to do for some reason.
This is not groundbreaking research, this has been known for a while. The current focus is to understand possible non-genetic pathways for this. https://en.wikipedia.org/wiki/Epigenetics
"Epigenetics is the study of heritable changes in gene expression that occur without altering the underlying DNA sequence. These changes, also known as epigenetic modifications, affect how genes are turned "on" or "off" and are influenced by factors like environment, lifestyle, and aging."
Further reading: https://www.sciencedaily.com/releases/2021/07/210726102148.h...