I....well tbh I put into question your ability to recognize Carcharodontosaurus if you couldn't immediately and with ease identify its skull when compared with the skull of Giganotosaurus. Regardless, you were right in your answer.
The Carcharodontosaurus is easily identifiable as a Carcharodontosaurid at the very least. It visibly has a more narrow snout, and we see similar/matching proportions in Frontier's depiction.
The same can be said about Giganotosaurus. Frontier followed the skull shapes closely when depicting the two animals. That's where I take issue with the depictions you presented. The issue being that they appear more like Giganotosaurus than its relative, most notably the lantern jaw which you attributed to the Giganotosaurus skull. Carcharodontosaurus doesn't display as prominent of a chin on its jaw, and yet we see that in the depictions you provided. The upper jaw is also more rounded, more comparable to the skull of Giganotosaurus than the more angular Carcharodontosaurus. Lastly, in the depictions you provided shows a bumpy ridge along the top of its head ending in a small, almost crest-like feature. We see this on the skull of Giganotosaurus, but Carcharodontosaurus skulls appear a bit smoother by comparison.
Of course, as an artist's impression, this would just be the artist putting some meat on the bone. The point is though that, visually speaking, the depictions you've provided show greater similarities to Giganotosaurus's skull than Carcharodontosaurus's. Frontier chose to have its depiction more closely resemble the shape of its skull to better differentiate it from Giganotosaurus. Where they may have took some creative liberties is the overall more slender build of Carcharodontosaurus, to which you can say what you will about it.
So, in short, it is certainly recognizable as Carcharodontosaurus, and I wouldn't call Frontier's depiction scientifically inaccurate as they chose to make its head more closely resemble the fossils of its skull, its most notable and appearance defining feature (other than its size, of course, which you're free to take issue with). The issue lies with the dissimilarities between Frontier's depiction and how you feel the animal should look based on other artist's depictions you are used to. This makes it a subjective issue and a matter of opinion rather than an objective issue. Or, alternatively, this is an issue with shrink-wrapping, which can be an objective issue as it isn't an accurate depiction of the animal. That, however, is an issue many of the JP dinosaurs have and is a different topic altogether. Despite all of this, we don't know what these animals look like, and we probably never will. All we can offer is our approximations.
To wrap my post up, I present to you a depiction of Giganotosaurus with features reminiscent of a bearded dragon and a rhinoceros lol.