I don't believe that parents who work very hard to alienate children are acting very benevolently when they allow token visitations.
I think the intentions behind such things are:
- To give the impression that there's not an active campaign of parental alienation going on
- Out of cruelty and for the pleasure of seeing an uncomfortable visit between the child and the parent they alienated the child from. A test of sorts to get a feel for how well the alienation is working and/or gloat over how successful it is
- hope that the LBP seeing the child, and not seeing them excited, or seeing them act indifferent, or hostile would dishearten the LBP, weaken their resolve and lead to them giving up
The proof that such is the case is how often they allow 1 or 2 brief visits or interactions and then go back to no contact for months or years. The last thing they are trying to do is encourage any sort of real relationship between the abducted child and LBP.