Flying Time is quoted as saying that one of their aircraft was involved.
Yes; correct.
They also edit those news articles every few minutes, despite the time tag at the top.
I wonder who the other one was?
that sounds like separation to me.
If you think that is an assurance of separation, better stay on the ground
In the circuit, you have to keep a lookout. ATC help to sequence the traffic but for example how you fit into downwind traffic after a crosswind join is
100% down to you.