The "loving takeaway", from Dr. Blase Harris' book, which is what I think is being referenced, is the step taken when you've been working on your sitch for a while but there hasn't been any progress, and basically it's that you're letting your X know, by your actions, that they are not high on your priority list, that is, you don't make yourself all that available for them. It's done with lots of love.
It's really the same thing as going somewhat dark.
The other thing about Harris' "loving takeaway" is that it follows after one has been doing the other things he suggests in the book, which is GAL, not pursue, detach, and to build repeated positive moments/contacts with one's X, from which enough time has elapsed and still the X doesn't come back.
So, according to Dr. Harris, the loving takeaway is not done if one has not been building many positive moments, has not GAL, has not detached, or has been backsliding. It wouldn't be effective.