Yeah, but a smoothed Clark-Y isn't really a Clark-Y anymore. For starters the (very strong) smoothing process caused the bottom surface to go slightly under-cambered. Also a NACA 4412 with thickness and camber parameters adjusted isn't a NACA 4412 any more
But I take your point.. The NACA 4412 is very close to a Clark-Y, but it's incorrect to say they are the same because there are small but significant differences.