I have never seen any attempt by SDAs to present the topic of the nature of man, soul, death - by the claim that they suspect that JW teaching is exactly what Adventist official doctrine teaches. I frankly don't find where the JW's endorse these Bible details - even though they fit in perfectly with the Denomination's POV.
1. Matt 10:28 "do not fear those that kill the body but are unable to kill the soul. Rather fear Him who is able to destroy both body and soul in fiery hell". Which means it is not the body that continues to exist at death, and it means both body AND soul go to hell and both are destroyed there (the second death) but in the first death only the body is destroyed/killed.
2. 1 Thess 4:13-18 describes death as sleep not as non-existence even though the "body returns to dust" which means it is "Not the body" that sleeps in death.
3. Luke 12 says there are degrees of punishment in fiery hell - as Adventists some times say - "the suffering of some is but a moment while others suffer for many days".
In the video the apparently JW speakers make the claim of total annihilation of both body and soul in the first death instead of soul sleep. I don't know of any official Adventist doctrine that claims such a thing.
I agree that many popular "illustrations" by our Evangelists make the mistake of not including all the information on the subject.