See
Safety aspects of aircraft operations in crosswind.(2001)
Max, some good observations.
Many aircraft provide pilots with the ‘feel’ that they will be able to manage crosswinds in excess of the advised limit.
The 146/RJ crosswind limit considered a wide range of operations – approaching the runway, flare and touchdown, and then staying on the runway, and included a range of configurations (flaps / engines / weight) for most operating surfaces – gravel, rough strip. IIRC the significant aspect of the RJ was retaining ‘adequate’ control in the turbulence which could be encountered in 35 kts crosswinds.
A critical point is just after touchdown where more rudder may be required to maintain direction; rudder effectiveness reduces with speed, thus more deflection may be required either to stay straight or correct a deviation; if you have used max rudder in the flare then there may not be anything else to help you remain on the runway.