To begin with rumor has it that Home Depot has a proprietary agreement with Lincoln Electric in which Lincoln supplies a lesser quality product for sale in HD outlets only. There are minor differences in the product naming that can give clues to which is which. Also I think Lincoln is kind of ambitious in their claims of welding capacity across the board. Such things can be done, but only in ideal conditions with highly skilled weldors and things are different in the real world for me and you.
That done, the small fluxcore welder will struggle to complete welds in 1/4" mild steel and then only if the material is clean and a bevel is cut in each piece.
If you buy the Lincoln wire feeder you'll likely be back in the market sooner than later, OK?
For a single welder user a stick welder makes the most sense for all the reasons given above by bigdad and Capt Jack. However, that Home Depot price for an AC only Lincoln tombstone is pretty high. They're available for less than $220. shipped for free (and tax free) from assorted online outlets.