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What browser are you using?  I'm using a chromium based browser and I don't see any noticeable input latency.

Chrome with a DualShock 4 controller connected via USB. If you want I can post my laptop's specs.

Hmm, I'm not sure then.  I noticed that the steering and acceleration can appear delayed since they are implemented via a physics controller, rather than a kinematic controller.  

I'll be uploading a new build fairly soon.  If you'd still like to try it out, perhaps one of the downloadable versions will work better for you.