How do believers in the dead being conscious explain the absence of reports about afterlife experiences by Lazarus and other resurrected individuals?

The person, of whom Paul speaks, who was 'caught up to the third heaven' saw things 'not lawful to utter' and did not utter them.

I knew a man in Christ above fourteen years ago, (whether in the body, I cannot tell; or whether out of the body, I cannot tell: God knoweth;) such an one caught up to the third heaven. And I knew such a man, (whether in the body, or out of the body, I cannot tell: God knoweth;) How that he was caught up into paradise, and heard unspeakable words, which it is not lawful for a man to utter.

[2 Corinthians 12: 2-4 KJV.]

Would one not suppose the same of those who had received the esteemed privilege of being so singularly raised from the dead : that they would be discrete regarding their experience and would only do so if it were lawful to do so and if they had authority from the Spirit so to do.

I would say that none of those people were tapped by the Holy Spirit to author Scripture therefore, even if they did relate their experiences to others, they had no part in their inclusion or exclusion from Scripture. The ones who did author the Scriptures were certainly not led to record every single scrap of information they had at hand:

Now Jesus did many other signs in the presence of the disciples, which are not written in this book; but these are written so that you may believe that Jesus is the Christ, the Son of God, and that by believing you may have life in his name. - John 20:30-31

This is the disciple who is bearing witness about these things, and who has written these things, and we know that his testimony is true. Now there are also many other things that Jesus did. Were every one of them to be written, I suppose that the world itself could not contain the books that would be written. - John 21:24-25

As much as we think it would be edifying to have the testimony of these people regarding the hereafter, the Holy Spirit apparently did not think that we needed that particular information. In a similar way it would seem so beneficial to our understanding of Scripture to have the details of the Emmaus road conversation laid out for us:

And he said to them, “O foolish ones, and slow of heart to believe all that the prophets have spoken! Was it not necessary that the Christ should suffer these things and enter into his glory?” And beginning with Moses and all the Prophets, he interpreted to them in all the Scriptures the things concerning himself. - Luke 24:25-27

Our souls must be satisfied not only with what God provides but also with what He withholds.

Arguments from silence are no arguments at all.

With Lazarus, who had been dead 4 days, three highly significant factors are often overlooked. First, that Jesus delaying the resurrection of him until that stage would prove to even the most severe doubter that it was a previously rotting corpse that emerged, uncorrupted and entirely as Lazarus used to be. There would be no arguing that Lazarus had been brought back from the dead, as the grave-cloths were still wrapped around him. Second, that this miracle was "for the glory of God, that the Son of God might be glorified thereby" (John 11:4). And it truly was, for "Then many of the Jews which came to Mary, and had seen the things which Jesus did, believed on him" (vs. 45). Thirdly, that Jesus used this miracle to convince people that there was more to a future day of resurrection, at the last day, than Martha's thinking was confined to. This is where Jesus teaches living awareness despite physical death.

"I am the resurrection and the life; he that believeth in me, though he were dead, yet shall he live. And whosoever liveth and believeth in me shall never die. Believeth thou this?" (John 11:24-27)

Those who have that kind of faith in Jesus "shall never die", Jesus promised. Oh, but their physical bodies must die, sooner or later. Yet THEY shall continue living. Do you believe this?

That third point is the one that those denying awareness after physical death seem to have disbelief in. They explain it away with different interpretations, insisting they do, really, believe everything Jesus said about the resurrection. Yet they also have to explain away other statements Jesus made, such as his detailed description of the state of two dead Jewish men in Luke 16: 19-31.

Nobody needs to know how people who have died can remain conscious in an invisible way, living on until the future day of Resurrection and Judgment. The Bible does not give details on the how, only on the fact that death is not the end; and that living awareness goes on in a different way (invisible to humans remaining alive on earth). Those who accept by faith Jesus' promise that "he that believeth in me, though he were dead, yet shall he live; and whosoever liveth and believeth in me shall never die", have all the assurance they need.

Doubters seek for tangible evidence, of written, signed and sworn statements, before-and-after photographs, of ghostly voices telling them at a seance that a deceased loved one is now speaking, saying how happy they are in "the spirit world". That sort of thing.

Believers in Jesus simply believe the promises of Jesus, for he is the resurrection and the life, and he proved that by what he did 4 days after the death of Lazarus. Who needs Lazarus to add to that stupendous account? What was recorded for us was what the Holy Spirit knew we needed to know.