Am I pedaling wrong?

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But yeah, say what you guys want about cyclists not actually pulling up when they wear clipless, my acceleration from between 15-35 mph is *rediculiously* improved when I use clipless, and I don't know what else could contribute to this.
Confidence that you're not going to pull your foot off the pedal, perhaps?

There is no efficiency difference between a clipless system and a cleats/clips/straps system. Only convenience, and perhaps better float. The main reason that I went clipless 16 years ago was because I got sick of reaching down to loosen/retighten the strap at traffic lights.