Is there a word with a meaning in between 'desegregate' and 'integrate'?

Merriam Webster – Desegregate :

to free of any law, provision, or practice requiring isolation of the members of a particular race in separate units.

Merriam Webster – Integrate :

to form, coordinate, or blend into a functioning or unified whole : unite.

I am interested to find out a word which fits between the above two, and could be used in the following sentence :

Although not segregated, they did not dwell together in unity preferring to be _____________ .

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This relates to matters of culture, race, ethnic origin, social choices and so on but the best way I can illustrate the concept (and the best way to avoid wandering into controversial issues) is to illustrate the idea with next door’s cat.

Next door’s cat comes in through my open patio door, nibbles at food which I leave out in the conservatory, sniffs around the kitchen ; then wanders into my bedroom and sleeps for a couple of hours between the suitcases under my bed. Then wanders out again, later.

Doesn’t look at me. Doesn’t hop up in my lap for a stroke. Very occasionally lets me tickle under his chin.

He has chosen not to integrate with my own occupation of my dwelling. But he does not wish to be segregated.

How should I describe the way in which Pudsey the cat wishes to relate to me ?