Sure, it'd let you be a bit sloppier with randomware, not needing public key crypto to make it all work. Not really a huge deal.
If something like SGX become publicly available then a lot of proprietary software and content manufacturers going to use it for DRM purposes. So efficiently it's will be everywhere.
Now imagine that every company can put sleeping backdoor in their software that can't be found by reverse engineering. Then they can activate it on demand for purposes of industrial espionage. Or they can simply ship own version of backdoor to ever customer and then pretend it's was some "bug" when someone detected it's activity.
Yeah it's could be detected when it's start to be active, but it's doesn't have to. It's could be idle on PC for years undetected just waiting for remote command, trigger or special payload just for you.
PS: Also fact that secure enclave itself can't access system API mean nothing because half of software already have interpreters in it as well as frameworks for every possible activity bad or good.