a tiny ambiguity

Today's Tiny Seppuku answers a question from someone whose parents like her ex enough to let him live with them. Here's a panel from the strip:

The parents say this to the woman:

Let us tell you how much we enjoy having your ex living with us instead of you.

This is ambiguous - do they enjoy having him live with them instead of live with her, or instead of her living with them?

And the brilliant thing about this is, the context of the conversation doesn't disambiguate it, as context usually does. Either reading would fit beautifully.

Wow.