My main concern is what effect it would have on the users hair. Imagine if they had got it just right, not too bouffant, perfect amount of root lift then just as they were bowling along merrily, with a smile and a nod to greet each passer by and BUM ! It starts to rain.
Now, in this situation the use of the laundry basket shows initiative in 2 ways, firstly the hair is protected from the rain, but (importantly) there is no compromise in issues of health and safety, as the user still has reasonably unrestricted vision, both from the front and the sides.
However, let us consider what might happen when the basket is removed, either because the user has reached their destination and is now safely protected from the elements, or because the rain has stopped.
I put it to you that in the scenario outlined in the first example, the user could retire to a suitable location and with the aid of a mirror and a handy implement restore their barnet to a pre-laundry basket condition.
BUT in the second scenario, the user may be in full view in a public place sporting a most unflattering "flat-top" style.
There is however a solution! Instead of the rectangular laundry basket depicted in the image shown, might I suggest the use of a round deeper basket such as this https://www.google.co.uk/search?q=laundry+basket&source=lnms&tbm=isch&sa=X&ei=IkYoU_WNGc7Q7AbBoYHADA&ved=0CAgQ_AUoAg&biw=1440&bih=750#q=round+laundry+basket+plastic&tbm=isch&imgdii=_basket
This would rest lightly on the shoulders but the added height would leave the coiffure untouched.