For someone who isn't a native English speaker, I've gotta hand it to you: you are amazingly eloquent. I don't think this issue could've been brought up any better than what you just did. So, well done, sir!

On topic, though, I hope this issue gets brought up as well. Having just run Stone Vigil this morning, I had a few small lag spikes, but one of them froze some of the patrolling monsters. While not normally an issue that results in a party wiping, it is still annoying when I'm chucking my axe at something (or attempting to, as the animation never finishes) that's clearly in front of me, but is in fact well behind me and on the other side of a wall. What's even worse is when a lag spike causes the other players to completely freeze in position on my screen, as then I have no idea of where it's best to tank, as well as if one of my party members have moved in front of the enemy for whatever reason. I've even had healers in my party suffer this issue, and need to spam Medica in order to heal anyone, and needless to say that just makes everyone's jobs tougher. Simply reloading the area map solves this issue (such as dying and respawning, relogging, using Return, etc.), but it's still an issue regardless.

Surely, there must be some way in which the server can help to 'catch up' without necessarily glitching and freezing character models in place.