It's pointing out the double standard of dogs getting their claws trimmed while cats get their claws removed.
The cartoon sucks, but the point is valid. Declawing is horrible and unnecessary. I propose anyone who wants to have their cat declawed should have their fingers severed at the last joint to see what it feels like, because that's exactly what declawing is.
If your cat doesn't like having their claws trimmed, get a helper, wrap the cat up in a towel and trim away. Or get those soft claw caps. My vet charges like $10 + the cost of the caps to put them on.