I have not fitted any cross climates myself, unlike Sir P above who has practical experience.
The softer compound should not be a problem on a light car like the Morgan, on heavier cars you could expect a higher wear rate.
The rubber compound is formulated to work well at lower temperatures (below 10 C ) but Morgan usage is normally heavier in the summer, and the tread pattern is optimised for conditions like snow or mud. How many of us use our Morgan in these conditions?
Personally I prefer a tyre that will give me controlled grip when I want it (the cross climate will probably provide that) but will break traction when I want to steer on the throttle or break traction, not sure if this would be the cross climate's forte.