We don't have an EdenPure one... but a comparable unit named Comfort Zone.
Claim one.. does it effectively heat a space. Yes.
Claim two... Is it a safe heat.. Yes, the outside of the unit is completely cool.
Claim Three.. minimally raises the electricity bill.. depends on your expectations.. it cost in the neighborhood of 30 to 40 dollars a month to run, wife would have it on for several hours a day, mostly at night. Albeit the reason we bought it is she still hasn't adjusted to the Northern climate and ran the temps a little warm.. to the point of too warm. Daily struggle.. I like it cooler. 😉
"The oranges are dry; the apples are mealy; and the papayas... I don't know what's going on with the papayas!"