Palpatine has a strong motive to want Padme dead. He can never fully control Vader while she lives. So, from that perspective, any theory that involves Palpatine directly causing Padme to die makes sense.
However... you would think if Palpatine had it within his power to do what's described in the article, why wouldn't he kill the babies as well? The children are another source of interference in Palpatine's control over Vader. It's ultimately what causes Palpatine to lose. Perhaps he recognized that the threat of the children wasn't immediate, the children could be corrupted just like Vader, and the children would eventually be an excellent insurance policy as a replacement to Vader.
I'm sure the "broken heart" explanation is exactly what Lucas intended. It's just kinda cheesy and seems better suited to a movie like Shrek.