That video needed to be made.  I'm tired of people who claim to be Catholic trying to get non-Catholics into Heaven or trying to find some cheap workaround to make it happen (ie Implicit "BOD".)  It all boils down to human respect and people putting friends/family etc. ahead of God.  People need to be reminded of this often (fewness of the saved, no salvation outside The Church) as it really sobers you up to reality and you realize how precious and serious your one life is and not to waste time seeking after The Lord.   

Can you show us an example of this (using a quote used in the video)?

It is important to pray privately even for those who appear to have died outside the Church. Indeed, their salvation may depend upon it, since God being outside of time can 'anticipate' our prayers for their salvation.

There are some, like the Dimonds, who repeatedly misrepresent Magisterial teaching. It has a semblance of truth, but often with a little twist imposing their own 'dogmatic' interpretation.

I recommend this article by the Fatima Centre:

Conclusion

May the souls of all the faithful departed rest in peace. There is no salvation outside of the Catholic Church. But God alone knows the state of a soul at death. Thus, in our charity and love for all men – since we desire all to be saved (cf. 1 Tim 2:4) – we continue to pour forth private prayers for the conversion and salvation and mitigation of Purgatory for everyone, even those who in our eyes died outside the Church but who may have made a perfect Act of Contrition or who became Catholic by divine intervention right before the moment of death.

May a Catholic Pray for the Soul of a Deceased Non-Catholic? | The Fatima Center

There's absolutely nothing here that the Dimonds misinterpreted.  I'm the first one to call them out when I feel that they have misinterpreted something.  Unless one EXPLICITLY states that they're praying for their past conversion (let's be honest that nobody who says "I'm praying for [such and such a deceased heretic]." or "We should pray for Queen Elizabeth." ever makes it explicit), this does grave damage to EENS dogma, giving the impression that it's possible for heretics who die as heretics to be saved.

Trads repeatedly make statements like, "I'm praying for [Limbaugh or Ginsburg or Elizabeth]." in public without any kind of qualifications whatsoever, thereby damaging EENS dogma, which is all but universally denied these days.  "I pray that Elizabeth converted before here death." would be acceptable.  "I pray for the respose of Elizabeth." or just "I pray for Elizabeth." or, worse, announcing from the pulpit not only that she could have been saved but that "she lived a good life" or offering Mass for her, those are unacceptable and are clearly condemned by Pope Gregory XVI for the same reason ... because they damage EENS dogma.

You're a liar and slanderer by attributing the opinion EWPJ rightly condemned and rejected as being those of the Church Fathers.  St. Robert Bellarmine explicitly restricted BoD to catechumens, and both Aquinas and Alphonsus limited its application to those who had the CATHOLIC FAITH but simply lacked Sacramental Baptism.  This thread isn't about BoD/BoB at all, but you constantly conflate this broad implicit "BoD" with the teaching of these Doctors so you can hide behind them and slanderously assert that they backed your broader view of it.  Elizabeth II was validly baptized.  So this has nothing to do with whether or not someone has received the Sacrament of Baptism.  EWPJ was denouncing this absurd redefined "BoD" (that evidently applies even to baptized individuals), which really means "salvation by sincerity".

Elizabeth was a (baptized) heretic, who died outside the Church.  This has nothing to do with BoD.

It always felt wrong to me (at least illogical) for any of these prayers (outside of praying for their past conversion ...which I don't do indefinitely).

Um. My father was Jєωιѕн.  So don't make assumptions.