If you read up on the history of Reduce, Reuse, Recycle, you'll find our plastics really aren't recyclable (much).

And your home recycling is a feel-good measure.

If you want to make a difference, start with verifying exactly what your city/county/state do with "recyclables", and follow that with looking into the recyclability of different plastics and how much each is produced.

It's eye opening.

Reviews and feedback of packaging and non-sustainable materials is significant.
Businesses are extremely unlikely to change out of their own good will, unless there is some sort of review and something more sustainable ends up being cheaper. They'll only change due to consumer pressure.

Recycling eventually will catch up with our expectations.
Plastic may not be recycled now (well, certainly not to our expectations). But it will be, eventually. And hopefully the demand for recycled plastics will improve the whole cycle, where companies use recycled materials.

I always appreciate cardboard packaged products

I think that's the best angle to improve things right now, minimizing packaging, use other materials in place of plastic where we can, and what used to be the first R, Reduce consumption. The last one has a lot of parts to it, and attacking planned obsolescence is a big one. Things should work longer and be repairable.

Lastly, I hope there is a Hell and Edward Bernays is in it. Look him up to learn about the father of consumerism and how he changed how people act for the worse.