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Its all very well others suggesting that you file a 1261, but for what? Were you overloaded? It may well be that it was felt that after the LAS looked at the flight list he felt that there would not be a complexity issue running at 4 above TSF. THAT IS EXACTLY WHY HE IS THERE!!! It seems that if you were not overloaded then it was good use of available resources.
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Many LAS's hold Tac and/or Planner validities. This is so that they can keep in touch with "the shop floor". By keeping their validities they are in a very good position to determine exactly what is feasible.
It seems that the general consensus is that an LAS is as useful as a cup of ice in a snowstorm. However he is there in part to increase the efficency of the flow measures in place. It seems that on this instance that is exactly what he [or she] did.
But then of course maybe he was lucky!!!