This isn't an accusation of fraud. Note that the post you quoted includes the words "I bet", so you should know its speculation. Accusing them of fraud would be claiming the packaging materials aren't recyclable. Note that the OP's claim is that most of the packaging probably doesn't get recycled. I don't find this at all far-fetched, as many people who are environmentally conscious enough to care about recycling everything will also be bothered by the amount of packaging material.

Recyclable materials that end up in a landfill are no better than non-recyclables in that same landfill, as even organic materials don't really decompose in a landfill.

> Just to elaborate: The comment is basically saying they are lying

The comment absolutely does not accuse them of lying. They claim the material is recyclable, not that it is actually being recycled. I don't contest their claim that it can be recycled, and I simply speculate that most of it isn't.