Let's answer this from a biblical perspective.
First, not all the anointed will pass away, so that disproves the statement.
Look! I tell you a sacred secret: We will not all fall asleep in death, but we will all be changed, 52 in a moment, in the blink of an eye, during the last trumpet. For the trumpet will sound, and the dead will be raised up incorruptible, and we will be changed - 1 Cor 15:51,52
When, then, will the memorial stop? Perhaps this is what this verse is referring to. Not 100% sure.
For whenever you eat this loaf and drink this cup, you keep proclaiming the death of the Lord, until he comes. - 1 Cor 11:26
Now, that said, when the Lord comes, what does he do?
Immediately after the tribulation of those days, the sun will be darkened, and the moon will not give its light, and the stars will fall from heaven, and the powers of the heavens will be shaken. 30 Then the sign of the Son of man will appear in heaven, and all the tribes of the earth will beat themselves in grief, and they will see the Son of man coming on the clouds of heaven with power and great glory. 31 And he will send out his angels with a great trumpet sound, and they will gather his chosen ones together from the four winds, from one extremity of the heavens to their other extremity. - Matt 24:29-31
And...
For this is what we tell you by Jehovah’s word, that we the living who survive to the presence of the Lord will in no way precede those who have fallen asleep in death; 16 because the Lord himself will descend from heaven with a commanding call, with an archangel’s voice and with God’s trumpet, and those who are dead in union with Christ will rise first. 17 Afterward we the living who are surviving will, together with them, be caught away in clouds to meet the Lord in the air; and thus we will always be with the Lord. - 1 Thess 4:15-17
But, will the memorial actually stop? That's somewhat debatable. I have no clear answer on it, other than Christ's own words:
As they continued eating, Jesus took a loaf, and after saying a blessing, he broke it, and giving it to the disciples, he said: “Take, eat. This means my body.” 27 And taking a cup, he offered thanks and gave it to them, saying: “Drink out of it, all of you, 28 for this means my ‘blood of the covenant,’ which is to be poured out in behalf of many for forgiveness of sins. 29 But I say to you: I will by no means drink again any of this product of the vine until that day when I drink it new with you in the Kingdom of my Father.” - Matt 26:26-29