Magnify this with the fact that each character animation takes about 3-5 seconds, and you kill the immersion even more. When I tell my character to perform a special move, or mine, or craft... it takes so long for the completion, even of lackluster moves, that everyone thinks it's lag... when in actuallity it's just horribly executed animation speed.
I didn't read through the whole thread and just wanted to say something about this.
As for special move, I'm guessing you're talking about performing a weapon skill or ability during a fight. This "lag" only happened to me when my connect is red or yellow with very low numbers. I'd also experienced that when I tried to turn up ALL the setting to max and playing full screen with the highest resolution.
As for mining (or lumbering), I agree it takes too long to "get repair" to mine and too long to put away the tools, but if you compare the speed with beta 3, open beta is already much faster. That being said, I'm not saying it'll be any faster in release, but I'm seeing some improvement there and hopefully they'll be much faster and smoother.
As for crafting (and selling stuff to npc), same thing as above, it is much faster than beta 3. I've read it somewhere people are saying all these scripts are server side script now, so everytime you perform an 'action', you have to make a connection to the server, and the more you connect to the server, the slower it'll be. People are saying this will change in the retail version, but I'm not really worry about this because if they could do it in FFXI, I don't see why they couldn't do it in FFXIV.