A couple of the strips I've frequented in the last few years are also pretty much one way in, the other way out. They're both sloped pretty steeply, though, so up to a 10-12 knot tailwind is no big deal. I just land like normal, at the same airspeeds and AOA as if I had a headwind or no wind. But also, I'm very accustomed to the trees going by pretty quickly, because we're talking about a DA of 8500' to 10,500'. I just don't pay attention to the trees.
I'm not much of a videographer, but take a look at this one, which I took landing with a full load minus the fuel to get there, at Marble, CO, in my P172D.
This isn't nearly as hairy as some of the strips you've videoed going into, and except for the elevation and density altitude, it's not overly challenging. But what I want you to see is how fast the approach speed appears to be, by looking at the trees. The final approach to landing appears at about 5.00 minutes. The indicated airspeed is only 70 mph (61 knots), yet the calculated TAS is closer to 82 mph (71+ knots). On that day, there was very little wind, just a slight tailwind--see the windsock at 6:35 or so.
That's what I think your issue is, that you're slowing down because of the visual perception of excessive speed when you have a tailwind. If you'll just land like normal, trimmed for your normal final approach speed, that last second plop won't happen. It's not the wind pushing the airplane down; it's the loss of lift as you approach the stall quicker than you're accustomed to.
Obviously one of the things you must do to counter the tailwind is to adjust your approach by moving your aiming point back commensurate with the strength of the wind. Putting it simply, your flare will eat up more distance. If your approach obstacles aren't too high, that's not a problem, but if they are, you'll eat up more airstrip than you're accustomed to, and with a strong enough tailwind, there probably will be some air spilling over the obstacles that will tend to push the airplane down.
The strongest tailwind I've ever landed in was only about 25 knots or so, at Las Vegas McCarren back in about 1975 or so. But for me at that point in my flying life, that was a heckuva lot of wind. We were the last airplane in before tower reversed the pattern. Today, I wouldn't do it--"unable" works pretty well. Since that time, I think the strongest tailwind I've had was barely a little more than 15 knots, and that was doable reasonably comfortably. The extra risk of losing control with too strong a tailwind is just not worth it.
Cary