Comment: No, it doesn't.

(See in situ)

No, it doesn't.

In lesser-quality resolutions, what you're likely referring, the 'spire' does appear to disintegrate (not pulverize.) When viewed in better-quality, however, it's clearly obvious that it collapses.

The light weight dust ("coating" that core section) from the immediately-prior tower collapse, dissipates and partially obscures the visibility of it falling. But it does indeed fall. Look for better-quality versions; not the grainy, pixelated, misinfo.

Whether the 'spire' collapse was from other debris still collapsing near or at the base (impacting the 'spire' base,) or further demolition, I'm not sure. And the foreground buildings and dust obscure visibilty of that tower's base.