Recycling rates are low, but I wouldn't quite call it a myth. There's a lot of materials that get lumped together as 'plastic', that each have to be handled differently.
Some are relatively non-toxic and easily recycled. More can be, but aren't profitable without incentives. Some are very toxic, and recycling those are difficult. Then there's a lot of rarer types that make it hard to collect and sort. There's also mixed materials, where it's hard to separate the plastic to recycle.
Generally everyone should be minimizing plastics, but check how they're handled locally so you know what's recylable.