As has been commented if there is a radio beacon nearby then it's possible that aircraft are utilising same for training etc.
Which is a good reason to stay with Farnborough as Goodwood may not know anything about IFR traffic, (holding for example) . Farnborough may be controlling them or may have their info from radar.
It is not bad airmanship to route overhead if enough clearance is given. Certainly overhead at 4500' is fine, I do it a fair bit - it makes it easy if you have to divert in an emergency......(good airmanship?).