I'm happy to know that you are pretty knowledgeable and polite, since talking with someone like you is far more beneficial than talking with a typical online Korean nationalist. That's shorter than alternative terms but conveys no meaning for most people who have not learned Korean calendar. As a result, people (if ever interested) need to google the word and then see "Japanese invasions of Korea," which is slightly longer but anyone can clearly understand. That's partially true. Since Japan believed that Chinese culture brought from Korea might not be good enough, Japan often sent scholars directly to China, e.g. Japanese missions to Tang China. It is like Xuanzang visiting India for learning Buddhism, as he though Buddism was altered by other peoples in between. In this case though, unlike Koreans, the various peoples in between won't claim that they, as middle-men, brought Indian culture to China. Much earlier (and larger) Kofun were found in Japan than in Korea. So if there is a connection between Japan and Baekje, Japan would be pre-Baekje, not the other way around. This can also explain why Yamato court fought against Tang-Silla alliance sending more soldiers than glorious Tang dynasty. What is particularly interesting to add here is that actually Japanese Empire is the one which tried to spread the idea that Japan and Korea have the same root. Japan was looking for ways to justify that the two countries should be united as one. As such, in the earth 20th C Japan, Nihonshoki was brought up as an important historical text, since (1) this is the only old text that talks about the influence and (2) this text says that Japan controlled a part of Korea. While I don't give much credit to Nihonsoki, it is at least older than Korean historical texts like Samguk Sagi, for which Koreans tend to give enormous credit. Koreans seem to put pride for anything, and claims without logic are nothing but temper tantrums. If throwing temper tantrums is their pride, I would disregard their pride.