Don‘t discount a conspiracy just because the conspirators are incompetent. In fact, the opposite is usually true. Your average conspiracy usually has multiple layers of incompetents. If a conspiracy looks flawless, it is usually because there is no conspiracy.
Targetting a news organization might be a multi-purpose action, including to limit the amount of photos from the area. The fact that this action has resulted in even worse optics then the photos would have provided, and the fact that people on the ground are still a source of visual evidence for the destruction does not mean that there is no conspiracy, just that they are bad at it.
Given the absence of evidence of any Hamas activity in that tower, and given the clear motive improve the optics of IDF, I would say that both explanations hold at least the same ground.