No, softer compound than a normal slick with hand cut grooves is the definition of an intermediate. At least in europe where they are primarily used (be thankful its not our normal MO to carry 3 types of tires!). The tread depth will not be appreciably deeper coming from a slick mold. Perhaps some Pacific Northwesters who run them more often than prolly anyone in the states can chime in. In 2006 when GY wet fronts were unobtanium GY offered us 13" FSAE tires in a 065 compound that they would hand groove for us. But they were free to admit this was not really going to be a wet and at best a compromise. I don't see how this works in environments where we get flash thunderstorms where the track is drenched very quickly and its a scramble to switch the car to a wet setup. Perhaps it works for those with a perspective of where a rainy day is occasional passing showers but not in other climes.
I don't mean to be strictly critical here without a subsequent better idea, but I just don't see one with the AR 'wet' offering as GY/HS will go away from the wet business if they don't have the slick since they're barely in it now, IMO.