Mine is a biased opinion, given the strong business relationship between Automation Correct and Leisure Line, but here goes:
As Coalshop said, the stoker mechanism on the Econo Sidewinder is the same design used on all the coal stoves Leisure Line makes (differences in size and BTU rating only). Jerry used to have a video clip posted at his site describing and showing the stoker mechanism. Hopefully he'll pipe up with a link to it.
It is a clip from the DVD he puts in with his stoves and runs in some of his dealer locations.
There are quality stoker units produced by other manufacturers, to be sure. However, the Leisure Line stoker is the simplest one out there so far as I know. That simplicity coupled with quality parts and workmanship result in a highly reliable unit. And should you run into a problem, the after-sale service provided with Leisure Line products is second to none.
That said, shop and compare. If you're concerned about the stoker mechanism make sure to compare those of other model and makes that you're interested in. And use the search features here to better tap the vast resource that is the NEPA forums.