Don't believe everything you read over LinkedIn. :)
AI does not negatively impact neither.
First, because it doesn't touch the core of their consulting offers (and, on the other hand, adds additional complexity, which is great for consultants). It is at the most a very good tool that will make them more productive and provide an even better service.
Of course, there is the odd consulting firm that sells superficial advice, shallow research, and basic advice. Well, those will be negatively impacted by AI, for sure. But they were already set to be replaced by better competitors, so AI just accelerates the downfall
Second, it help provide MORE value at a LOWER Cost. This is not negative for consultants, quite the contrary. It means that 1) they become even more valuable and / or 2) they become affordable to more clients.
Where you may see a relevant difference is in some types of MANAGEMENT consulting, particularly regarding things like process improvement.