With a ship (or part of a ship) providing artificial gravity by rotation, changes in its vector (altering course, accelerating, decelerating) would have a similar effect to that which gravity has in the spinning room, except that they would not be constant**, so the adjustments the body was making to them in that room might be more difficult to achieve if there were a series (and variety) of changes over a short period of time...
...so even on a relatively large ship (to get near to normal gravitation without involving too big an adverse coriolis effect) having close to a 400m diameter, you'd still need to be careful about its manoeuvrability and range of acceptable rates of acceleration/deceleration (and with, say, warships, other means of keeping the crew safe if those rates had to be exceeded).
** - In a ship that was either constantly accelerating or constantly decelerating, there would be a second source of artificial gravity. IIRC, the lighthuggers in Alastair Reynolds's Revelation Space universe use that constant acceleration/deceleration to provide the artificial gravity, with no spinning used at all. The only issue this has (other than when the ship isn't on a journey) is at the point in a journey where the switch is made from one to the other, i.e. the acceleration ceases and deceleration begins. (This change is described in one of the books, possibly Redemption Ark.)