Yeah; the way people do it now if you rent out for example 3 rooms (that aren't all the same) is to create multiple listings:
Listing 1: 3 rooms, room A, B and C - accommodates 6 people
Listing 2: 2 rooms, A and B - accommodates 4 people
Listing 3: 2 rooms, A and C- accommodates 4 people
Listing 4: 2 rooms, B and C - accommodates 4 people
Listing 5: 1 room, Room A - accommodates 2 people
Lising 6: 1 room, Room B - accommodates 2 people
Listing 7: 1 room, Room C - accommodates 2 people
This is a lot of work because if someone for example rents 1 room (Room B) then you have to disable the dates for listings 1 and 4. (But you can keep 3, 5 and 7. )
However I'm not sure that there is a type for this.. it's not 'entire home' but also not 'private room' because you have more than one room of course.
To be honest though I see a lot of listings where hosts have clearly chosen the wrong type.