The two animations is to show both "mirrored" versions of Sune™. I hope you can see they're the same moves, just "mirrored". Both versions are needed, and both are equally much Sune™!
Step 6 can always be done with 2 Sunes or less. You do need to learn it to use this method.
To talk about how to use Sune™ we need to define the concept the Sune™'s target. The target of a Sune™ in the example is the yellow sticker. In words, the target is the sticker on the corner opposite the side of the first Sune™ turn that is left untwisted. Or in other words, the first turn of a Sune™ targets the sticker that (a) is on the opposite side from the side of the first turn, and (b) of the two corner stickers there, it targets the one on the side that is turned up.
Once you've understood the target concept, you only have these three rules to keep in mind. If the final layer is red...
Here are examples of zero, one and two correct corners. The target is yellow, or orange when it's both red and a target.
You need to learn a lot of move sequences, and you need to learn to recognize them quickly. Most of the time there is a move sequence that solves this step directly, without going to step 7.
There are only 49 possible position in Step 6. Here are solutions to every single one!