Nopes, SEC makes sure that laws and regulations are followed. Investigations in Enron also led to people losing money.
In the realm of securities fraud, I would say that the private securities bar does about 90% of the impact (in terms of judgments and settlements). And successful criminal referrals a la Enron are quite rare, proportional to the actual amount of fraud going on.
By the way, Enron was a fraud against its own investors. Enron was not about fraud against short-sellers, it was fraud against purchasers of Enron stock. Not that short-sellers don't deserve honesty, just saying that they do not typically receive much love from regulators. From what I can tell, it seems this is not solely due to the disposition of said regulators, but also because of legal uncertainty around short-sellers' rights under securities laws.
As I also pointed out, this does not mean that one cannot commit fraud vs a short-seller. However, from what I gather, the rights of short-sellers under 10b-5, based on a "fraud on the market" theory, are rather murky in established caselaw and differ between federal circuits.