Correct.
Example:
Let's say female sim have trapping skill and crafted a Rat Trap -- you decided to leave it in House #1.
Now let's say your trapping skill increase and you can create Poison Rat Trap, however you CANNOT leave it in any other house because you already left a rat trap in house 1. Since poison rat trap uses the same skill (trapping skill), it is off limits.
Suddenly male sim wants to pick up trapping skill, he can but he cannot leave any objects behind because the female sim already left a trapping skill item behind in house 1.