Seems odd to ban them booking. Just make all flights booked by AI non redundant or changable and the market will sort itself out.

I get preventing them from checking in and making acknowledgements or declarations on behalf of a human.

I'm no fan of ai, but this seems odd. The only reason I can think is that they are worried ai will be able to analyse and disrupt their pricing mechanisms. So, they are the first, hoping others will follow.