TH:
one deduction would be they had squirreled away last year's and were recycling them
Another would be that newsreaders, presenters, guests, celebrity chefs, property makeoverers and all the lovies are fitted out with them, together with the radio mikes, off camera by the studio crew. Where do they get them from? Why you TH, who else? Pained as I am to say so, but VVCA...etc has a point. It really grates every October to see the Beeb displaying its awareness, for it is awareness of what that is the issue. Don't wear the poppy, wear the poppy, it's a personal choice. Make that choice with pride while you may, but take the OP's lead and Remember Them!