"Included" vs "Complimentary"?

[Sam Leon]

Do you make a clear distinction between what's included and what's complimentary?

In my mind if it included like a refrigerator than I am responsible to keeping it functional and repair or replace it when necessary.

Complimentary is when it is an extra that the tenants may use, such as a bbq grill, a kayak, a shed...if it breaks, gets stolen, it is at my discretion and I may or may not repair or replace it, but I don't charge extra for it.

Is complimentary the proper word to use in this context?

Another example is garbage disposer.  Once it breaks that's it, I will replumb the drain without it.