Somebody pointed out to me, that sideways runway excursions due to strong crosswinds overwhelmingly end up in the grass on the upwind side. Quite logical.
Hence a piece of advice not to deliberately try landing offset from the centre-line which will reduce the margins for rollout. Also, sticking to the runway axis helps to evaluate how is one actually managing the approach, providing a measure of own performance. Pilot DAR explains well why that is important.