They were the ones who published Barkley CCTV, they've given a platform to the turgid mind of McKenzie to make the comments. They've earned plenty of money off the Barkley incident, there's been no concern for Barkley in their coverage and McKenzie's comments make it very difficult not to react in some way. But in truth, there's not a lot the club can effect in this situation.
I think these bans are often a bit counter productive in that they tend to give publicity and banning sports reporters doesn't effect the opinion piece section of McKenzie, Morgan, Hopkins etc. You won't stop them covering you, you're just guaranteeing the sports reporters do so in a negative light from a distance.
But given that these comments tread dangerously close to areas where people are looking to set new guidelines in media. Sounds like he's been suspended, but still think this could end them up in plenty of trouble.