I think Mr. Olivier has touched on it, but I agree with him.
We currently have bioplastics in some PET and in some polyethylene. Once you make the ethylene and then turn it into polyethylene, it doesn't matter if the ethylene is bio-based or if it's oil-based ethylene.
Historically, oil has been cheaper to convert to ethylene, and natural gas has been cheaper to convert. The implication for recycling is none. Once it's a polyethylene, it's a polyethylene, regardless of it having come from a bio base or an oil base.