And the most annoying thing is that latency is worse when I'm in HMs for some reason. Needless to say, any further progression, such as getting my relic, for example, is just not possible for me. To make the matter even more obvious I got into playing the beta of another Japanese MMO, which is f2p btw, and I can dodge stuff there just fine!
This whole section just reeks of "i'm bad" and "other games aren't as challenging so I'm going to play those." Short of the most crazy insane latency (e.g. 10+ second lag spikes) titan can be totally beaten by anyone capable of learning the fight. He does the same things in the same amount of time in the same order EVERY. SINGLE. TIME. It is a 100% scripted battle. You can anticipate things you need to dodge.

Ancedotal evidence like "i played this other game and I can win!" creates an illusion of one thing being broken and the other not. As I said before, you can probably dodge in the other game just because they make it easier on you (e.g. timing is more loose, etc). I've played few MMOs where dodging is such an important skill.

I had a friend on my server who played from Australia, halfway across the world, and she was able to dodge at Titan and BcoB just fine. From halfway across the world with at least a 250+ ping. It is not SE's servers that are the cause of your lag if it even exists at all. I could probably come over to your house and beat him on your computer for you just fine.