A club statement saying that Gus was informed of the panels decision on at XX:XXpm on XX/XX/XXXX via email/phone/carrier pigeon would be very hard to deny as presumably the club could prove the communication took place should Gus call them liars. No need for back and forth at all.
If the club have informed Gus before then they should release another statement now while he is on air, put him on the spot, the BBC will call him on it as it will be great TV.
I think he is bullshitting but if he is and the club dont take the oppertunity to call him on it then they deserve all...