Nantucket Bike Baskets, but rebranded by the German distributor Liix. Ah, globalisation.
As a transport solution this setup worked well enough for the short trip, to the extent that my bag did not fall out and the handling of the bike was only mildly affected. But the experience made me remember the problems I have with handlebar-mounted baskets: (1) they tend to slide sideways along the handlebars, even when the basket is empty, and (2) when going over a bump, they bounce against the headtube.
For me this presents a dilemma, whereby one must choose between installing complicated (and heavy, and ugly) hardware to prevent the movement, or leaving it as is and cycling with a basket that is constantly sliding and bouncing. The later is annoying, but the former is a hassle. For this reason I like having a basket mounted on a front rack best, but a front rack does not make sense for every bike. I also realise that some just prefer the simplicity of a handlebar-mounted basket that can easily be attached and removed. In Vienna I do not often see cyclists with baskets attached to the handlebars via straps, and I think that is because of the cobblestones: Riding through some parts of the city, the bouncing would be unbearable. But I do see this method of attachment in Boston sometimes (though mostly on bikes that look like they are used for very short trips) and in photos from other countries.