It always depends. Sometimes the 日本漫画 bothers me, but other times it's the 日本动漫 that bothers me. Like... I tried 阅读 Ouran, but it made me confused. And after 阅读 Fruits Basket, I yelled at the anime. I usually try to read the 日本漫画 first, but sometimes I'm just in a rush. If I watch the 日本动漫 first, I'll usually read the 日本漫画 to see the difference.
I think both, but it depends on what it is. Like, if I'm shown the 日本动漫 version first, I'll probably only watch the anime. But, if I find the 日本漫画 first, I'll 更多 than likely watch the 日本动漫 for it too.
Example: I started watching Soul Eater and 《无头骑士异闻录》 before I knew there was a 日本漫画 version of each. So kinda just stuck with the 日本动漫 version because I'm too lazy.
Enjoy the picture that doesn't even fit the conversation!! >w<
日本漫画 is 更多 portable for me than anime, but I still have to go with anime, as 日本漫画 can sometimes be hard to understand. Like 你 don't know which character is speaking, 或者 what a picture is depicting.