Look at the size of the missile and then of those fins.
What volume of air or water you expect to flow around the missile and how much effect you think those fins would have on that flow?
We have already seen our SSMs without aero control fins. So I believe these fins are there to provide stability under water. But in that case too, compare the size of the missile and its weight and then the size of those fins. Are they adequate enough to decide on the steering of the missile?
It could be a botched up image. But I don't believe the final product would be anything like this.
By looking at pics one cannot determine the aero/hydro dynamic characteristics/performance
IMO there are not for steering underwater, K4 travels inside a bubble created by the pseudo 1st stage (nose cap) which starts firing once it exists the submarine silo, it barely travels <100m underwater ( will not give the exact depth)
Those fins are required for aero dynamic control during the low dynamic pressure zone experienced post exit from water till the time the pseudo 1st stage burns out at a predetermined altitude
After that the base shroud at the bottom of 1st stage with the control surfaces are discarded , which than allows the actual 1st stage to fire and then the FNC (flex nozzle control ) of now burning 1st stage starts exerting thrust control