Check out the full list of what staples accepts now part of their expanded recycling programs.
https://www.staples.com/stores/recycling#workingtowardsabrightertomorrow
More companies should start to follow staples lead and offer return points for packaging and products that reach their end of life.
Unfortunately this could be the case and the cynic in me feels this could be a green washing scheme like you said.
But hopefully with what some cities are doing now with charging the full economic and social cost of blue & black bin programs to companies and manufactures this could start having a real good impact.
Specially since most manufactures shift the cost of recycling and trash to communities and tax payers. Instead this cost should be internalised by the manufacturer and retailer.
Hopefully this kind of shift promotes better sustainable packaging, and prevents things like planed obsolescence and fast fashion.
The cost of paper and plastic recycling is passed on with the co-operation of government. Their interests are aligned with those of industry. The cost is handballed (‘externalized’ if you want the slime term) first to individuals and ultimately to the environment. With moral hazards like this I wouldn’t expect substantial change to be driven by authorities. It’s going to take technological breakthroughs.