Easy: That indicator is not always on when the mic is.
Unless we're talking about an electret capsule with a physical LED wired into the supplying power rail that is switched off when the mic is not in use, you have to trust software.
And good luck with that after the patriot act. I am not implying the NSA has a microphone backdoor, but if they had and someone abused it, how would you know about it?
Listening in for keywords and only send text/audio when keywords are spoken isn't only good for ads, that would be dream of any intelligence agency. And since Snowden have been a few years.