So I'm not sure of the implication of "truth."
Yes it leaves holes to fill, but its being turned into pasture so it gets tilled a couple of times eliminating the holes. We cant have stumps left in the ground cause they rot out leaving holes the horses trip in. No matter what method of stump removal you use, your eventually gonna have a hole to fill. Whether you let it compost, you pull it, or you grind it. The only question is how soon will you have to fill the hole. Pulling them just makes the hole fill a more imminent activity.
As to cost, $6 a stump is to remove and pile. If you have the name of someone who'll remove and haul for $6 a stump I need their name. There's more business than they can do in a lifetime in Black Forest CO. So I pile and burn them.
For truth in comparison the burning part is nearly free.