I understand where she is coming from, because I have been frustrated and hurt by the lack of effort that one particular couple puts forth in maintaining our friendship. We have often invited their family to holiday dinners, etc and they never, ever, invite ANYONE over to their house. When we see them at their house, it's because we have invited ourselves, which they are perfectly fine with.
I spoke to another friend about it, thinking I was missing something and that they just didn't want to hang out with us, but that is not the case at all...they are exactly the same with all of us. They have a very relaxed and casual way of life and prefer if people just "stop in". The wife is very intimidated about cooking for a group or preparing for a "party", so they simply don't do it. If we are there in the afternoon they will say "hey, stay for supper" and it is no big deal but she definitely has guest stress if she thinks ahead to invite somebody to dinner! I have actually called and said "Can we come over for a while" and then brought a pork roast in a crock pot to make pulled pork sandwiches. I thought if I was going to invite myself at meal time the least I could do was bring something to eat! (They were not the least bit offended and loved it. They have actually said to other friends, while explaining that they "don't invite people" to just do what Faye does, call and say "we're coming over!")
We just invited ourselves over on New Year's Day evening. We were going to have some friends over (one other family) and called to invite the other friends. They had people "stopping by" so I invited them for another day. Turned out all the kids had hockey on the day I suggested, so I called back and said "I know so and so are coming over, but we would love to see you over the holidays...can we stop by?" The answer was "of course, bring the whole family!" I said "Great, The B Family were going to come here, but now they will probably come to your house too!"
So, the result was we had a wonderful, impromptu party with several friends who we absolutely adore. Of course, being small town Canadians much beer was consumed, and it ended with the host hugging and kissing us all, waving good by on the front steps and calling out how much he loved us!
If I was worried about Dear Abby, I would have cut these people out of our social circle years ago because they didn't reciprocate invitiations. I will admit to being a little miffed, thinking that they were trying to tell us something, but I still keep inviting them because I know it is not just us, and we really always have a great time with these friends and enjoy their company. We would have missed out on a lot! (BTW...these are the only friends that I feel comfortable enough to do this with...show up in my sweats with a crock pot under my arm!)