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Not quite .... ATC was not allowing pilots to fly the approach. Several requested to at least attempt an ILS and were denied. Options were to hold until things improved or to divert.
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I don't know which frequency you were listening on but I can think of a couple of possibilities.
1) If the terminal area was saturated with airplanes holding at the marker or being vectored waiting for acceptable winds, then approach would not let anyone else in, even if they wanted to try it.
2) More likely there was some operational problem. For example if the tower cab had been evacuated for winds, or there was some debris blowing around on the field.
But outside of those type of things, ATC simply doesn't "close" airports for winds or most other weather phenomona.
Of course, after watching LAX I'm learning new things about the authoritay of an airport "chief".