I own a long J-measurement fin-keel sloop and a full keel cutter, and the cutter is definitely easier in this regard, because the staysail put the center of effort closer to the mast. This means that if you get the forces of waves and wind acting on the hull out of sync, it's along a shorter length, if you follow.
Yea, understand the situation with the staysail. My ketch is actually a cutter/ketch so know what you mean.
The issue I was thinking about is the relative location of the mast on a cutter compared to a sloop. Most cutters would have the mast located aft of station four (based on separating the waterline length into 10 parts or "stations" starting from "0" at the bow) where most sloops have the mast located between stations 3 and 4. With the mast further aft I was wondering whether this would help the cutter be an easier boat to heave to given the centre of effort is further aft.