I am not sure what you mean. I just tested (sprite set position to mouse.x/y) and the lag is barely noticeable at 60 fps. At higher fps there is practically no lag at all.
In any case the lag can't be more than the duration of one frame, 0.016s at 60 fps.
Does it happen in a blank project?
Yes, it happens in a blank as well. I create a box and then set the box position to the mouse.x/y position.
You can notice it most profoundly when moving the mouse in steady motions at the right speed.
You can add several other objects that are daisy chained to the position of the the first, but set in reverse order so they each lag behind one frame. I use this to get an idea what several frames of lag should look like, but the mouse much further ahead.
Ashley Iʻm curious if there is a particular hardware/software issue then. I donʻt think I would have noticed it if I hadnʻt been playing a lot of sc2 lately. Hopping from sc to construct and it was very noticeable .At some point in history, I knew firefox had less latency than chrome, and Iʻm not sure if that is still true, but I wondered how many layers input has to travel in a construct project being tied to the browser. Constructs input lag on my test, had to be perhaps 1/6 of a second or more, regardless of the FPS being vsynced or not. Whether the project was at 60fps or 22000fps. I wondered if constructs double buffer was daisy chained inevitably to several other double buffers? Iʻll try to get a screen capture when I am next at home.