As we know, the 'wings' on the modern biretta are a formalisation of the way one bunched up the material between ones fingers in donning and doffing the rather floppier medieval clerical hat. That is why one has a 'wing' towards the right and not the left; one drew up the material towards the right, drawing it away from the left, so as to get a good grip.
On the photographs from the recent consistory, one can see that the Bishop of Rome placed the birettas on the heads of his new cardinal presbyters in such a way that the 'wingless' corner was to the back. Is this (which would be totally logical) because, if the biretta were still in the old floppy state, the one bestowing it would bunch the material between his fingers in bestowing the hat ... so that what is normally the grippable 'wing on the right' becomes, temporarily in the act of bestowal, the grippable 'wing at the front'?
Or did Good Marini just hand them to him the wrong way round?
We should be told.