What limits?
The aircraft I have flown, while some time ago, all had crosswinds mentioned in the manuals as "Maximum Demonstrated Crosswind". My airline read that just as it was printed. That the most crosswind they could find when flight testing the aircraft was listed as the "Maximum Demonstrated Crosswind". We did not read this to mean that we were limited to this value. We started the approach and landing and if all looked well it was completed and if not we went around.
There were airlines that had company policy that used the demonstrated max crosswind as an aircraft limit but not all did.