I think the point is that your goal of movement is to move gracefully and with the correct steps in front of your partner. While many here want to move elegantly with their partner.
To add to the advice:
"In front of" is important, of course! One doesn't want to drift off to either side. One wants to stay centered on one's partner's sternum while centering one's partner on one's own sternum.
However, as
itwillhappen said, "with" is essential. Drift and mediocre centering can happen to the best dancers when body sizes and shapes don't cooperate, but they can be compensated for; some people even dance offset by choice. Total lack of connection – not moving
with one's partner – is a total game-breaker. At that point, it's no longer a partner dance.
—
Even more advice:
Watching the videos again, I believe that all of advice here would be far easier to implement if there were more
fluidity: continuous enchainment of movements, each step set up by the previous step and setting up the next step by establishing the orientation of the body and pointing toward the next direction of movement. I see a lot of step-reset-step, and preplanning to execute a step "No matter what!" instead of "Aha, we ended up here! Where can we naturally go next without forcing anything?" The former works against developing good technique, while the latter favors it.
When attempting to dance fluidly (even if you cannot yet!), the things that work with little warning and even less thought are those that are adequately learned, truly grounded and controlled, and executed with suitable speed, dissociation, and connection. Everything else will stumble, fall off the music, and be halting. It's the natural tendency of many dancers to dislike that last bit and try to hide it . . . but if you're serious about learning, you embrace it because it shows you
what actually needs work.
I'd counsel
not thinking about steps, patterns, sequences, etc., nor about how beautiful your dance looks from the
outside. Think about what's happening
inside your couple. Think about staying grounded, in front of and oriented toward your partner, while flowing through movements using dissociation and smooth steps and pivots – i.e., universally applicable technique. Let steps flow naturally from your current speed and direction of movement, degree of torsion, and relative body placement. They can be invented on the spot and don't have to be things from some teacher's vocabulary list. This will look and feel more like partner dancing than "let's do ochos" or whatever.
Once you can do that, you can worry about specific bits of vocabulary that matter to you. At that point, they just become inspiration for your inventions, and you'll do them well and naturally because you're already dancing fluidly.