Haskell type classes as ontological categories
The code in Listing 1 represents my attempt to test the claim. I have simplified the classes, while retaining that ability to test the original claim, which is repeated here:
The Haskell code given so far is complete and type checked, explaining the entire refined concept hierarchies. With instantiations for types of boathouses and houseboats, values can be declared and axioms stated and evaluated to demonstrate semantic properties and differences. For example, it can be shown that a passenger on a boat in a boathouse cannot be said to be an inhabitant, while a passenger on a houseboat can.
Here is the simplified class hierarchy:

If we interpret an inhabitant as being directly in the boathouse then the claim is somewhat reasonable. This is because in Listing 1 whatsIn is not defined for type BoatHouseD, attempting to evaluate in GHCi:
whatsIn (BoatHouseDc (PeopleDc &quot;joe&quot;)) 

will cause error. In general, if a function is not defined for a data type that function will fail to type check. Note whatsIn is defined in an instance of ContainersC class for the type BoatD  and also defined in an instance of ContainersC class for the type BoatHouseD.  whatsOn  is defined for an instance of SurfacesC. These functions cannot be defined in the sub-classes  HousesC, BoatHousesC, and HouseBoatsC of ContainersC or BoatsC, BoatHousesC, and HouseBoatC of SurfacesC.
On the other hand the semantics of the Haskell code can be used to refute the claim. The test in Listing 1 shows that if someone is on a boat and that boat is in a boathouse then they are indirectly in the boathouse.
Conclusion
Based on the Haskell code in Listing 1 we can refute the claim. Reasoning about the Haskell code there is some credibility in the claim. The sub-classes seem to be redundant, because functions can only be defined in instances of the class where they were originally declared, not in any sub-class of that original class. So the functions whatsIn and whatsOn cannot be defined for the sub-classes.
Listing 1
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-#  OPTIONS_GHC  -Wno-missing-methods #-}
 -- The suffix D=data type,Dc=constructor
 -- The data types were chosen to match the type variables in the type classes
            data PeopleD = PeopleDc [Char] deriving (Show,Eq)
            data BoatD a  = BoatDc a deriving (Show,Eq)
            data HouseBoatD a  = HouseBoatDc a  deriving (Show,Eq)
            data BoatHouseD a  = BoatHouseDc a deriving (Show,Eq)
            
             
            class ContainersC a b where -- suffix C= class
             insert :: b -&gt; a b -&gt; a b
             remove :: b -&gt; a b -&gt; a b
             whatsIn :: (a b) -&gt; [b]
            
            class SurfacesC a b where  
             put ::  b -&gt; a b -&gt; a b
             takeOff :: b -&gt; a b -&gt; a b
             whatsOn :: (a b) -&gt; [b] 
                           
            
            class PeopleC p
            class ContainersC h o =&gt; HousesC h o
            class (SurfacesC v o) =&gt; BoatsC v o
            class (HousesC h (v p), BoatsC v p) =&gt; BoatHousesC h v p
            class (BoatsC v p, HousesC v p, PeopleC p) =&gt; HouseBoatsC v p 
                         
           
            instance ContainersC BoatD PeopleD where
               whatsIn (BoatDc (PeopleDc x)) = [PeopleDc x]
            
            instance ContainersC BoatHouseD (BoatD PeopleD) where
                whatsIn (BoatHouseDc (BoatDc (PeopleDc x))) = [(BoatDc(PeopleDc x))]
          
            instance SurfacesC BoatD PeopleD where
               whatsOn (BoatDc (PeopleDc x)) = [PeopleDc x]
     
             test =  (head (whatsOn(head (whatsIn (BoatHouseDc (BoatDc (PeopleDc &quot;joe&quot;))))))) == 
                  (head (whatsOn(BoatDc (PeopleDc &quot;joe&quot;))))