I think it's an interesting point, but ...
Crosswind component CAN be worked out with the wind info. Why not give you the headwind component as well? It'll end up getting very verbose if it all comes over the radio - especially when busy.
Also, you'd end up getting "blah blah, crosswind component 2 kts" and other things which are just of no issue to the majority of aircraft. It would also get complicated when you start having to say "varying between 2 and 12 kts".. and even worse, how do you say "varying between 4 kts to the left and 6kts to the right".
The info we get is enough. Then as cpt you can make a decision whether it's "way inside limits" or "ohh.. in that case I better work it out properly"