MathFox,
"With a strong crosswind it is possible that the air flow into the compressor is disturbed and not enough air is getting into the hot part of the engine"
Correct, you have hit the nail on the head!!! Not enough airflow into the engine inlet on start can and will cause a surge or hot/hung start and/or possible internal damage to the engine.
Sokol, appreciate that you are trying, just a little confused.
McHale.