Yes, the '59 Caddy has the biggest tail fins ever, which makes it measurably significant. You still wouldn't expect to see it in a museum in Japan, though. After updates to the facility and its exhibits finish early next year, the 67-vehicle collection will also include such greats as a Renault 5 (known here as the Le Car), a '64 Ford Mustang, an Audi Quattro, a first-gen Honda Insight, and a Lotus Elite. Someone over there has good taste.
You can visit the Toyota Automobile Museum the next time you're in Nagakute City, which is right outside Nagoya. We're booking our tickets now.