YOur original accusation claimed that evolutionists were reluctant to give up the "right" to use false images to mislead the public.
1) The example in the OP. As yet there is no evidence of fraud - or even that the image concerned is wrong.
2) Haeckel's drawings - Haeckel was promoting his own ideas. Those were rejected (you will not find a recent textbook supporting Haeckel's version of recapitulation). The drawings may have been retained in textbooks but there is no indication of any deceptive use and they have been replaced.
3) As has been pointed out it is the evolutionists who are producign the more accurate images, while only popular sources produce "ape-like" Neandertals. This example contradicts your thesis - unless you wish to turn around and start to claim that the more ape-like drawings are accurate. You can't even show that the older images had any intent to deceive.