There are some key differences between the two. Savage Lion’s Claw (SLC) covers more distance and allows for two additional hits if you follow up with another input. However, there are some downsides. The first is that SLC can’t knock down enemies like the regular Lion’s Claw (LC) can. This makes SLC less effective against enemies or bosses like Rennala and Malenia. Another drawback is that SLC doesn’t offer much poise break. While it’s true that the full SLC combo with the additional input does have more poise break than the standard LC, the time it takes to complete the full SLC combo is so long that you could just use LC twice, which would give you better results. For example, if you try the first DLC grace and fight the first Misbegotten you encounter, you’ll notice that LC will break their poise in three hits, while SLC won’t be able to stance break them at all.
So, which one suits you best? It really depends on what you value. If poise breaking is important to you, the original LC is probably your best bet. But if you prefer the extra range and safety SLC offers, you might lean towards that. It’s worth experimenting with both to see which fits your playstyle.