This is wrong, please stop spreading this misinformation.
It probably differs from country to country, but in Germany, for example, between 38-48% of plastic is recycled (source). Sure, that‘s far from all of it, but still far, far better than nothing. Falsely claiming that recycling is mostly a scam and, by that, implying that it doesn‘t make sense to try to recycle you trash, is a horrible idea and only makes the situation worse.
(source)
Not a map, but at least some more data from some other countries. The own car is unfortunately the most used mode of transport for commuting in every surveyed country, but the US seem to be especially far behind when it comes to alternatives.