It would be interesting to hear what others would have done on the
first landing.

Go around. It's almost always the safer decision. But maybe I'm influenced
by a similar situation I experienced the day before yesterday...crosswind
landing on RWY31 with winds 24013G23KT. I used full flaps (mistake) and
ballooned a little on touchdown when suddenly the full 23 knots hit and
turned the nose about 20 degrees into the wind. As I was already almost out
of airspeed, I didn't try to force it back to runway direction with the
rudder but did a go around.

Strangely enough, the one thing I remember most from this moment is the
thought "This is going to get expensive..." as I don't know what I might
have hit if I had left the runway.

From now on until I have refreshed my crosswind skills with a CFI on board,
my personal limits for gusting crosswind are going to be a lot lower.