Well I think you were right.
Anyway, here's some points: no (or few) airplane manufacturers will put a limit on max crosswind. The max demonstrated crosswind is not to be regarded as a limitation. That means, in turn, that it's up to each operator to assign a max (cross)wind limitation. Therefor, the definition of max (excluding gust, including a percentage or including all the gust, could be 2 minute or instant wind) would also be up to each operator.
Where I fly, the max crosswind component is 30kts (lower limits apply for inexperienced crewmembers and slippery runways, sometimes as low as 5 kts), and max wind is 45kts. These values are including all gusts. Instant winds would be acceptable.