Note: In my post and picture above, my experience is with the GAIA I, not, the GAIA II. The speakers are Wilson W/P 8 that weigh approx. 170 lbs..., so, the GAIA I is required. I am assuming that the GAIA II should behave like the GAIA I, but, that may not be a good assumption on my part -- Although, in your video, it looks to me like the carpet spike is moving up and down with the carpet/pad, and it is not the GAIA II that is controling the majority of the rocking.
I think you have to figure out if the 1 inch spikes on Isoacoustic carpet spikes are long enough for the carpet and the pad. Even if they are, they may not have pierced through the pad. You could mark where the spikes should be, then, take the speaker off and use a hammer to make sure you drive the spikes through the carpet pad. Then use your hand to press down the spikes to make sure they consistently hit the floor and do not wobble. Even if the spikes need to be longer than 1 inch, if the hole through the carpet pad is done, the weight of the speaker may be enough to compress the pad and make sure the spikes hit the floor.

