I haven't experienced any "input lag". Maybe it has to do with the DOSBox settings? You might try changing cpu cycles by pressing Ctrl+F11 to lower or Ctrl+F12 to increase them (See
here for additional information). Though, if the game otherwise runs smoothly that might not help.
Chlorus: I'm having a similar problem in bMouse- not quite lag, but it's as if the mouse deadzone is extremely high.
From my experience that's "normal" behaviour of the game in DOSBox. To me it also feels like a "high deadzone" on the y-axis of the mouse, whereas the x-axis feels rather fine. Using bmouse may or may not have improved it slightly, but I couldn't be sure.
I've looked into the issue a bit but didn't find any solution. What you can try, though, is going into the advanced mouse settings and changing the y-axis scale. (Use the "Launch Settings" shortcut in the game's folder, there go to Controller Setup->Setup Advanced Control Options->Advanced Mouse Setup->Mouse Y Axis Scale). This effectively let's you change the y-axis sensitivity, as the in-game sensitivity slider only influences the x-axis.
Other than that what I found was only that the Build Engine games all have a rather bad implementation of mouselook and the best chance is using a source port.
BoodGDX seems to be coming along nicely and is already well playable, so that may be an alternative for some.
Hopefully someone has a magic solution for the DOS version up their sleeve, but otherwise I guess you just have to get accustomed to it. At least I don't find it so bad after having played it for a while.