That's how most large class action settlements work. Would the cost of systems and staff to process and verify 10 million receipts be lower than the cost of paying out some smaller number of undeserved claim checks? Probably not when the reward is small.
IIRC my check was close to $1,000. (no lying on the submission either)
Hope you got your LCD check too! (if eligible)
I don't think the number of people willing to commit perjury for $10 is enough to result in any significant amount of fraudulent claims.
Also consider the statistics of being able to actually reach the full number of affected consumers in the class -- the fraudulent claims are probably representative of 10 times more that couldn't be reached but are deserving, and because the primary reason for the suit is punitive, not reward -- it makes little difference who gets the funds in the end.