I'm not really understanding how there's that much difference between a light aircraft pilot seeing some traffic indication on a quasi-TCAS, that is vaguely the position and level that (non-radar) Scottish Info. said there might be something. Compared to them having a distant visual contact, roughly in the vicinity of the last reported (estimated) position, at the last reported level of someone else that's getting a basic off Scottish.
In either scenario, the traffic "seen" may, or may not be the aircraft you are being told about.