I think by and large recycling programs could generally be described as "a sham" pretty accurately. I'm sure there are good programs somewhere, but locally I think it was estimated (ballpark, just trying to remember) like 5-10% of recyclable plastic ends up being recycled vs. in a landfill or incinerated. Of that, some depressingly small amount is actually usefully recycled.
Back of the napkin, if you buy a 30-pack of recyclable cups and are diligent about taking the foil off roughly 1 of those 30 will be meaningfully recycled. Obviously not "you" here, just trying to make a statistics point that recycling is usually (depending where you live) closer to a lie than not.