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IIRC, the car needed to be redesigned because it wouldn't meet updated crash safety standards.
The cost of doing this plus the low volumes in which sports cars are sold resulted in Honda just pulling the plug. It also had a good bit of competition from the cheaper Miata.
For the Japanese makers, sports cars often lose them money. Making one isn't a rational decision. In order for it to happen, they need to have leadership that says "I don't care, make it anyway" and sticks to it.
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Exactly this, Stateside sales got close to 10k units couple years (dont think it ever exceeded) then decreased every year after that high water mark. 66k units over 9 MY with descending popularity isn't conducive for planners to reinvest. Total World, first year was best then consistent, downward slope - last few year were sub 10k IIRC, which is kinda the threshold. The 07-08 FinCrisis contributed to the decision here.
Like many models, FJ Cruiser, Supra A80, FD, etc - enthusiast passion creates apparent demand that didn't show up in volumes transacted. This especially after the model is no longer produced, so people can't count on mfg availability, but only the secondary market. Like art.
Def aren't generally profitable, or at least not in relation to resources monopolized. But the homologation pressures, halo effect and motorsports requirements (Mazda, Nissan, Subaru, Mitsubishi have abandoned wholesale mfg works) - things that drove suitable engine and model development, has waned. I'm sure you @MVolkJ are thinking of Akio here - because otherwise LFA, Supra, Yaris GR - WRC involvement, GR production trims (GR as a whole likely), Dakar efforts, NASCAR, LeMans, etc - would likely all be gone. Toyota leaving F1 was also influenced by the FinCrisis - but not winning with maybe the biggest purse didn't help.