I've been following this discussion from a distance. I don't have either of the kits in question - and frankly I wouldn't be likely to buy either of them soon under any circumstances. I can't afford to pay that sort of price unless I can actually tell myself I'm going to build it in the foreseeable future - and there are too many other projects claiming my attention.
It took me a little while to figure out the nature of the problem, but I think I've got it now. What confused me initially was the phrase "CAD lines." That term doesn't really mean much in this context. It does seem reasonable to assume that the Hasegawa designers used CAD (or maybe some similar Japanese software program) to design the kit. If so, all the lines forming the parts are "CAD lines" - including the outlines of the parts and all the other shapes that ought to be there. A petition using that term is likely to leave an engineer scratching his head.
It sounds like the problem may be that the cross-sections of the hull - the waterlines, station lines, buttock lines, etc. - got engraved on the plastic parts, either by accident or because somebody involved in the process didn't know what they were. If that's what happened, I have to agree that it's a pretty inexcusable mistake. Whether they were drawn by the CAD program, or with pen and ink by the designer of the original ship, they certainly don't belong on a model - in any form, raised, engraved, or otherwise.
Regarding the "caveat emptor" department - I have to agree with Warshipguy. These kits are, by almost anybody's standards, expensive pieces of merchandise. I don't believe the modeler should have to study a website in order to avoid being taken in by second-rate products. Whether those lines degrade these particular kits to the level of "second-rate" is, of course, for the individual modeler/purchaser to decide. Personally, if I were looking for a 1/350 Japanese battleship kit, this goof would stop me from buying either of those kits. I think we ought to be able to assume that a new kit in such a high price range, from a manufacturer as experienced and prestigious as Hasegawa, comes up to a higher standard than that. Other modelers are perfectly free to disagree.
Since I haven't bought the kit, I don't feel entitled to take part in the petition campaign. I will, however, be most interested to hear whether anybody from Hasegawa responds to it. (I suspect the company office has already heard quite a few howls of protest from Japanese modelers.) Those people have a fine reputation, and they surely know it. Maybe they'll listen this time. I don't know just how Hasegawa's actual design and mold-making process works; maybe the mistake happened at the company that actually machined the molds, in which case Hasegawa might have grounds for a lawsuit. At any rate, it will be interesting to see what happens.
I'm aware of two cases in which plastic kit manufacturers have taken kits off the market or revised it because of protests from the modeling community. Quite a few years ago - in the early 1980s, I think - Revell reissued its old, mediocre, 1/125-scale Type VII U-boat kit in the markings of U-505, the Type IX U-boat that's preserved at the Museum of Science and Industry in Chicago. (To be fair, it may have been a more-or-less honest mistake; it's entirely possible that the people running Revell at that time genuinely didn't know there was a difference between a Type VII U-boat and a Type IX.) The now-defunct magazine Scale Ship Modeler (the editor of which at that time was the estimable Loren Perry, the driving force behind Gold Medal Models) blew the whistle - as, apparently, did numerous customers who'd bought the kit at the museum gift shop and quickly realized how little resemblance it bore to the submarine they'd seen. The gift shop announced that it wasn't going to sell the kit any more, an Revell pulled the kit off the market.
The other incident occurred just a few years ago (I don't remember just how many), when Trumpeter released its 1/32 F4F Wildcat. I haven't seen the original version, but apparently the outline of the fuselage deviated from reality by something in the neighborhood of 1/4". The people at Squadron Mail Order heard about the problem, and Squadron refused to stock the kit. Trumpeter changed the molds.
That example suggests an approach that might work. I don't have a great deal of confidence in plastic kit manufacturers' responses to the individual modeler, but they have to listen to distributors. If Squadron, Internet Hobbies, Pacific Coast Hobbies, Dragon USA (which currently has the forthcoming Hasegawa 1/350 Isokaze at the top of its "Top 10 Most Viewed Items" list) and a few other distributors were to announce that they wouldn't sell the kits unless Hasegawa changed the molds....