But, when you think about it, reuse rather than recycling is far more likely to show up on the radar screen. Bubble wrap is another example of plastic sheet or plastic wrap or film, all of which is recyclable. It is for each instance, a question of scale for an answer of feasibility. Agricultural plastics can be recycled, since a farm or a county's worth of farms can collect the stuff. The issue will be getting rid of pesticide traces.
Supermarket chains can recycle plastic bags on a cost-effective scale.
But in liklihood, smaller entities can't. So it would go with bubble wrap.