The FR24 playback suggests that no flights landed on 05 (or 35) for half an hour or so after the THY's incident. This included the flight immediately following the A320. Presumably the A320 left debris which was immediately spotted, and had to be cleared away. Nothing landed on any runway until the 320 got down on 35.
I'd interpret this as saying that conditions made 05 optimum, the runway wasn't cleared by the time the A320 was making its second approach, and the state of the a/c prompted the crew to ask to get down quick, even on a non-optimum runway.