If the point is to send a message to both the companies and certain artists producing these $1 sketches then maybe people pulling these sketches should just destroy them and mail the remnants to the companies.
Do a scan of the card, burn half of it, scan the results ( so you have a before and after scan) and mail the other half to the company with a note about their quality control.
No ethical or legal quandries here, it's your own damn property and you can destroy it if you like. If some artists feel insulted about their "art" being turned into ashes, well, maybe that's what is needed.
If companies start getting back a bunch of destroyed cards with letters of complaint, maybe they will take notice.
There's certainly not much downside, many of these cards are literally not worth selling as they often sell for less than $1.50 the artist was paid to do them.