Anarax
Master Black Belt
The grappling techniques in modern MMA is a mixed bag, not just GJJ/BJJ. Wrestling has also played a tremendous factor in shaping "MMA Grappling" as well.which led to modern MMA grappling which ALSO teaches how to deal with strikers and grapplers.
That varies from school to schools and system to system. I've studied traditional striking systems that taught takedown/grappling defenses as well as other systems that didn't. Traditional striking is a very broad category and is too diverse in methodologies to say none of them teach anti-grappling.The problem in traditional striking MAs is that they don't teach you how to deal with grapplers (much less modern grappling) at all.
There's without a doubt some delusional practitioners who believe that(I've met some of them), but there's also many traditional practitioners that take anti-grappling seriously. They put a lot of time and effort in developing anti-grappling skills and are capable of defending takedowns.I do believe that even modern exponents of traditional striking arts still believe that you can just kick a grappler in the face when they're coming in for the takedown, or that their main defense against a grappler is to "never get taken down in the first place".