I apologize. Yes, if it "doesn't" follow the receiver. Also, re reading your post I see that D* has already replaced the receiver. In that case, it can't be the receiver.
It is very possible that there is a loose connector or a bad wire which makes partial contact and then loses contact again. I had something similar myself. I was losing a signal on one satellite which was restored every time I worked on it. I would tighten and check the connectors but didn't replace them, and I assumed the problem was with the satellite's LNBs or multiswitch. Instead, it was a bad connector that finally pulled off in my hand the last time I tried playing around with it. Water had gotten in, and it had corroded but not where the copper wire stuck out but under the crimp. Since then, I use compression fittings and have never had a problem.
It is possible that the problem is not the connector itself, but it could be another place in the wire where the central copper wire has broken. For example, it may be broken near the satellite. Moving the wire may temporarily move the pieces into approximation that is then lost when wind moves the wire even a little bit.