OK, note that one states hydrogenated tallowate as primary fatty acid ingredient, and the other stearate and palmitate.
Tallow yields stearate, palmitate and oleate. Palmitate is a C16 fatty acid. Stearate is a C18 fatty acid. Oleate is a C18:1 fatty acid, meaning it has one double bond. Hydrogenation turns the double bond in a single bond, thereby turning oleate into stearate. Hydrogenated tallowate thus is primarily stearate and palmitate.
I'd be surprised if you could find any major differences between the two formulations upon chemical analysis.