You must be really bad at using analogue sticks, because they are perfectly fine for someone like me.
I know because I've played a bunch of online shooters, competitive and non competitive. They have always been perfectly suited on consoles. I can even be the top player in games like Titanfall or Call of Duty on PC, while everybody else is on a M+KB.
The fact that they've lasted this long is a testament of how much of a staple they are.
The steam controller looks way harder to use and maintain precision. I've seen impressions myself, but I won't agree or disagree until I get my hands on them. A friend of mine ordered so I'll get to see what they do. I've got bets that they still won't be suited for precision aiming like in FPS, competitively. The analogue will still be king, but I won't make the final call until I use it.