The rugby thing seems thrown in to try and justify their decision?
How many people can teach maths really well and also coach rugby properly? That's bollocks.
I've tried teaching maths it's really difficult. Getting it yourself is no help when explaining to others.
I don't understand the job spec which is why I think they made it up after the event to justify what they did.
All that happens is they'll all learn to be less honest about why they hired the man, next time round.