Properly lit boilers emit no more than an amber-brown haze.
Boilers in oil-fueled ships (and many coal fired ones, too) are given air draft via powered blowers. Keeping the flame out of the yellow, high carbon, range prevented building up soot on the poiler tubes and tanks, which kept them more efficient.
Also, KGV cruised about 12kts (around 22 kph, just shy of 14 mph), which is about 20 feet per second that the stack is moving out from under where it just had been.
So, the gasses ought to be at some diagonal aft of the funnels, barring very strong winds from a different compass point.
Now, there is a situation where a capital ship under way might spew some black smoke. One of the ways to economise a ship is to run it on half the boilers. This is very handy for pulling routine maintenance on the boilers, blowers and the like while underway.
But, it does limit available horsepower in case of need. Like needing to push into a contrary sea or headwinds. In which case they might light off more boilers to have steam in reserve. Lighting off boilers starts smoky and sooty (there's a stick with a hook the snipes stick oil soaked rags upon and light, to light off the burners through a port in the side of the boiler).
On USN ships with two funnels, a given funnel tpically serves half the engineering plant. So, the lit off side will belch smoke until the boilers stabilize. I'm not remembering how KGV was laid out, stacks per boilers, to know if one stack or the other might show smoke lighting off.